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16928 = 25232

16928 has 18 divisors (see below), whose sum is σ = 34839. Its totient is φ = 8096.

The previous prime is 16927. The next prime is 16931. The reversal of 16928 is 82961.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 8464 + 8464 = 92^2 + 92^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=92.

It is a Duffinian number.

It is a plaindrome in base 11.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 16897 and 16906.

It is not an unprimeable number, because it can be changed into a prime (16921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 725 + ... + 747.

216928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16928

16928 is an abundant number, since it is smaller than the sum of its proper divisors (17911).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16928 is an equidigital number, since it uses as much as digits as its factorization.

16928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 25 counting only the distinct ones).

The product of its digits is 864, while the sum is 26.

The square root of 16928 is about 130.1076477383. The cubic root of 16928 is about 25.6764640920.

The spelling of 16928 in words is "sixteen thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 529 736 1058 2116 4232 8464 16928