82966928 has 20 divisors (see below), whose sum is σ = 175362288. Its totient is φ = 37712160.

The previous prime is 82966879. The next prime is 82966931.

82966928 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×82966928² = 13767022283514368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 235526 + ... + 235877.

Almost surely, 2^82966928 is an apocalyptic number.

82966928 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82966928 is an abundant number, since it is smaller than the sum of its proper divisors (92395360).

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

82966928 is a wasteful number, since it uses less digits than its factorization.

82966928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471422 (or 471416 counting only the distinct ones).

The product of its digits is 746496, while the sum is 50.

The square root of 82966928 is about 9108.6183364987. The cubic root of 82966928 is about 436.1491227413.

The spelling of 82966928 in words is "eighty-two million, nine hundred sixty-six thousand, nine hundred twenty-eight".