82988288928 has 72 divisors (see below), whose sum is σ = 241754028516. Its totient is φ = 26988057600.

The previous prime is 82988288923. The next prime is 82988289001.

82988288928 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 64237916304 + 18750372624 = 253452^2 + 136932^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (82988288921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3502263 + ... + 3525878.

Almost surely, 2^82988288928 is an apocalyptic number.

It is an amenable number.

82988288928 is an abundant number, since it is smaller than the sum of its proper divisors (158765739588).

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

82988288928 is a wasteful number, since it uses less digits than its factorization.

82988288928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7028198 (or 7028187 counting only the distinct ones).

The product of its digits is 169869312, while the sum is 72.

The spelling of 82988288928 in words is "eighty-two billion, nine hundred eighty-eight million, two hundred eighty-eight thousand, nine hundred twenty-eight".