Is 5328 an abundant number and what is its abundance?

Is 5328 an abundant number?

Here we will explain and calculate if 5328 is an abundant number and its abundance if applicable.

5328 is an abundant number if the sum of its proper divisors is greater than 5328.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 16 + 18 + 24 + 36 + 37 + 48 + 72 + 74 + 111 + 144 + 148 + 222 + 296 + 333 + 444 + 592 + 666 + 888 + 1332 + 1776 + 2664 = 9986.

9986 is greater than 5328. Therefore, 5328 is an abundant number.

The abundance of 5328 is the sum of its proper divisors minus 5328. Thus, the abundance of 5328 is 9986 - 5328 = 4658

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