972992928 has 24 divisors (see below), whose sum is σ = 2554106688. Its totient is φ = 324330944.

The previous prime is 972992873. The next prime is 972992929. The reversal of 972992928 is 829299279.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (972992929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5067576 + ... + 5067767.

It is an arithmetic number, because the mean of its divisors is an integer number (106421112).

Almost surely, 2^972992928 is an apocalyptic number.

It is an amenable number.

972992928 is an abundant number, since it is smaller than the sum of its proper divisors (1581113760).

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

972992928 is a wasteful number, since it uses less digits than its factorization.

972992928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10135356 (or 10135348 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 57.

The square root of 972992928 is about 31192.8345618028. The cubic root of 972992928 is about 990.9153619383.

The spelling of 972992928 in words is "nine hundred seventy-two million, nine hundred ninety-two thousand, nine hundred twenty-eight".