What are the numbers divisible by 728?

728, 1456, 2184, 2912, 3640, 4368, 5096, 5824, 6552, 7280, 8008, 8736, 9464, 10192, 10920, 11648, 12376, 13104, 13832, 14560, 15288, 16016, 16744, 17472, 18200, 18928, 19656, 20384, 21112, 21840, 22568, 23296, 24024, 24752, 25480, 26208, 26936, 27664, 28392, 29120, 29848, 30576, 31304, 32032, 32760, 33488, 34216, 34944, 35672, 36400, 37128, 37856, 38584, 39312, 40040, 40768, 41496, 42224, 42952, 43680, 44408, 45136, 45864, 46592, 47320, 48048, 48776, 49504, 50232, 50960, 51688, 52416, 53144, 53872, 54600, 55328, 56056, 56784, 57512, 58240, 58968, 59696, 60424, 61152, 61880, 62608, 63336, 64064, 64792, 65520, 66248, 66976, 67704, 68432, 69160, 69888, 70616, 71344, 72072, 72800, 73528, 74256, 74984, 75712, 76440, 77168, 77896, 78624, 79352, 80080, 80808, 81536, 82264, 82992, 83720, 84448, 85176, 85904, 86632, 87360, 88088, 88816, 89544, 90272, 91000, 91728, 92456, 93184, 93912, 94640, 95368, 96096, 96824, 97552, 98280, 99008, 99736

There is a total of 137 numbers (up to 100000) that are divisible by 728.
The sum of these numbers is 6881784.
The arithmetic mean of these numbers is 50232.

How to find the numbers divisible by 728?

Finding all the numbers that can be divided by 728 is essentially the same as searching for the multiples of 728: if a number N is a multiple of 728, then 728 is a divisor of N.

Indeed, if we assume that N is a multiple of 728, this means there exists an integer k such that:

$k \times 728 = N$

Conversely, the result of N divided by 728 is this same integer k (without any remainder):

$k = \frac{N}{728}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 728 (we can keep multiplying it by increasingly larger integers, without ever reaching the end).

However, in this instance, we've chosen to set an arbitrary limit (specifically, the multiples of 728 less than 100000):

1 × 728 = 728
2 × 728 = 1456
3 × 728 = 2184
...
136 × 728 = 99008
137 × 728 = 99736