Is 1728 an abundant number and what is its abundance?

Is 1728 an abundant number?

Here we will explain and calculate if 1728 is an abundant number and its abundance if applicable.

1728 is an abundant number if the sum of its proper divisors is greater than 1728.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 16 + 18 + 24 + 27 + 32 + 36 + 48 + 54 + 64 + 72 + 96 + 108 + 144 + 192 + 216 + 288 + 432 + 576 + 864 = 3352.

3352 is greater than 1728. Therefore, 1728 is an abundant number.

The abundance of 1728 is the sum of its proper divisors minus 1728. Thus, the abundance of 1728 is 3352 - 1728 = 1624

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