82368086328 has 64 divisors (see below), whose sum is σ = 249600268800. Its totient is φ = 24960025440.

The previous prime is 82368086321. The next prime is 82368086351.

82368086328 is a `hidden beast` number, since 8 + 236 + 8 + 0 + 86 + 328 = 666.

82368086328 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82368086321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17330976 + ... + 17335727.

It is an arithmetic number, because the mean of its divisors is an integer number (3900004200).

Almost surely, 2^82368086328 is an apocalyptic number.

82368086328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82368086328 is an abundant number, since it is smaller than the sum of its proper divisors (167232182472).

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

82368086328 is a wasteful number, since it uses less digits than its factorization.

82368086328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34666729 (or 34666719 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 82368086328 in words is "eighty-two billion, three hundred sixty-eight million, eighty-six thousand, three hundred twenty-eight".