82900928 has 28 divisors (see below), whose sum is σ = 179463192. Its totient is φ = 37681920.

The previous prime is 82900927. The next prime is 82900967.

82900928 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×82900928² = 13745127726522368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82900891 and 82900900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82900921) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58175 + ... + 59582.

Almost surely, 2^82900928 is an apocalyptic number.

82900928 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82900928 is an abundant number, since it is smaller than the sum of its proper divisors (96562264).

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

82900928 is a wasteful number, since it uses less digits than its factorization.

82900928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117780 (or 117770 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 82900928 is about 9104.9946732549. The cubic root of 82900928 is about 436.0334401869.

The spelling of 82900928 in words is "eighty-two million, nine hundred thousand, nine hundred twenty-eight".