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An integer is a perfect number if it is equal to the sum of its positive divisors, not including the number itself.

The divisors of 28 are : 1, 2, 4, 7 and 14....and these sum to 28. Thus 28 is a perfect number.

In Number Theory there is a theorem that, If 2k - 1 is prime then 2k-1(2k - 1) is perfect.

If we put k = 3 then 2k - 1 = 23 - 1 = 8 - 1 = 7 is prime.

And, 23-1 (23 - 1) = 22(8 - 1) = 4 x 7 = 28....is the resultant perfect number.

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Q: Is 28 abundant deficient perferct or near perfect?
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