82976928 has 48 divisors (see below), whose sum is σ = 222890976. Its totient is φ = 27014400.

The previous prime is 82976923. The next prime is 82976941. The reversal of 82976928 is 82967928.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (82976921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5923 + ... + 14178.

It is an arithmetic number, because the mean of its divisors is an integer number (4643562).

Almost surely, 2^82976928 is an apocalyptic number.

It is an amenable number.

82976928 is an abundant number, since it is smaller than the sum of its proper divisors (139914048).

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

82976928 is a wasteful number, since it uses less digits than its factorization.

82976928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20157 (or 20149 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 82976928 is about 9109.1672506327. The cubic root of 82976928 is about 436.1666450486.

It can be divided in two parts, 8297 and 6928, that added together give a triangular number (15225 = T₁₇₄).

The spelling of 82976928 in words is "eighty-two million, nine hundred seventy-six thousand, nine hundred twenty-eight".