Is 7728 an abundant number and what is its abundance?

Is 7728 an abundant number?

Here we will explain and calculate if 7728 is an abundant number and its abundance if applicable.

7728 is an abundant number if the sum of its proper divisors is greater than 7728.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 7 + 8 + 12 + 14 + 16 + 21 + 23 + 24 + 28 + 42 + 46 + 48 + 56 + 69 + 84 + 92 + 112 + 138 + 161 + 168 + 184 + 276 + 322 + 336 + 368 + 483 + 552 + 644 + 966 + 1104 + 1288 + 1932 + 2576 + 3864 = 16080.

16080 is greater than 7728. Therefore, 7728 is an abundant number.

The abundance of 7728 is the sum of its proper divisors minus 7728. Thus, the abundance of 7728 is 16080 - 7728 = 8352

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