82317671328 has 48 divisors (see below), whose sum is σ = 216266228640. Its totient is φ = 27416069376.

The previous prime is 82317671279. The next prime is 82317671333.

82317671328 is nontrivially palindromic in base 10.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 247243 + ... + 475146.

It is an arithmetic number, because the mean of its divisors is an integer number (4505546430).

Almost surely, 2^82317671328 is an apocalyptic number.

It is an amenable number.

82317671328 is an abundant number, since it is smaller than the sum of its proper divisors (133948557312).

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

82317671328 is a wasteful number, since it uses less digits than its factorization.

82317671328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723589 (or 723581 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The spelling of 82317671328 in words is "eighty-two billion, three hundred seventeen million, six hundred seventy-one thousand, three hundred twenty-eight".