81932928 has 256 divisors, whose sum is σ = 289059840. Its totient is φ = 19906560.

The previous prime is 81932909. The next prime is 81932941. The reversal of 81932928 is 82923918.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 81932928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 502575 + ... + 502737.

It is an arithmetic number, because the mean of its divisors is an integer number (1129140).

Almost surely, 2^81932928 is an apocalyptic number.

81932928 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81932928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144529920).

81932928 is an abundant number, since it is smaller than the sum of its proper divisors (207126912).

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

81932928 is a wasteful number, since it uses less digits than its factorization.

81932928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 203 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 81932928 is about 9051.6809488625. The cubic root of 81932928 is about 434.3296638018.

The spelling of 81932928 in words is "eighty-one million, nine hundred thirty-two thousand, nine hundred twenty-eight".