82986468928 has 56 divisors (see below), whose sum is σ = 181920977280. Its totient is φ = 37243614720.

The previous prime is 82986468911. The next prime is 82986468941.

82986468928 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 690451 + ... + 801682.

It is an arithmetic number, because the mean of its divisors is an integer number (3248588880).

Almost surely, 2^82986468928 is an apocalyptic number.

82986468928 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82986468928 is an abundant number, since it is smaller than the sum of its proper divisors (98934508352).

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

82986468928 is a wasteful number, since it uses less digits than its factorization.

82986468928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492235 (or 1492225 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 70.

The spelling of 82986468928 in words is "eighty-two billion, nine hundred eighty-six million, four hundred sixty-eight thousand, nine hundred twenty-eight".