117972282528 has 72 divisors (see below), whose sum is σ = 339730372800. Its totient is φ = 38826313344.

The previous prime is 117972282521. The next prime is 117972282529. The reversal of 117972282528 is 825282279711.

117972282528 is a `hidden beast` number, since 1 + 1 + 7 + 97 + 2 + 28 + 2 + 528 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (117972282521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2569818 + ... + 2615321.

It is an arithmetic number, because the mean of its divisors is an integer number (4718477400).

Almost surely, 2^117972282528 is an apocalyptic number.

117972282528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

117972282528 is an abundant number, since it is smaller than the sum of its proper divisors (221758090272).

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

117972282528 is a wasteful number, since it uses less digits than its factorization.

117972282528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5185234 (or 5185223 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 54.

The spelling of 117972282528 in words is "one hundred seventeen billion, nine hundred seventy-two million, two hundred eighty-two thousand, five hundred twenty-eight".