88072828960 has 24 divisors (see below), whose sum is σ = 208072058796. Its totient is φ = 35229131520.

The previous prime is 88072828933. The next prime is 88072829003. The reversal of 88072828960 is 6982827088.

It can be written as a sum of positive squares in 2 ways, for example, as 81798288016 + 6274540944 = 286004^2 + 79212^2 .

It is a junction number, because it is equal to n+sod(n) for n = 88072828895 and 88072828904.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 275227431 + ... + 275227750.

Almost surely, 2^88072828960 is an apocalyptic number.

88072828960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88072828960 is an abundant number, since it is smaller than the sum of its proper divisors (119999229836).

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

88072828960 is a wasteful number, since it uses less digits than its factorization.

88072828960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550455196 (or 550455188 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 58.

The spelling of 88072828960 in words is "eighty-eight billion, seventy-two million, eight hundred twenty-eight thousand, nine hundred sixty".