972952992 has 192 divisors, whose sum is σ = 3231083520. Its totient is φ = 281952000.

The previous prime is 972952927. The next prime is 972953081. The reversal of 972952992 is 299259279.

972952992 is a `hidden beast` number, since 9 + 7 + 29 + 529 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216367 + ... + 220817.

It is an arithmetic number, because the mean of its divisors is an integer number (16828560).

Almost surely, 2^972952992 is an apocalyptic number.

972952992 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972952992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615541760).

972952992 is an abundant number, since it is smaller than the sum of its proper divisors (2258130528).

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

972952992 is a wasteful number, since it uses less digits than its factorization.

972952992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4504 (or 4490 counting only the distinct ones).

The product of its digits is 1837080, while the sum is 54.

The square root of 972952992 is about 31192.1944082169. The cubic root of 972952992 is about 990.9018045471.

The spelling of 972952992 in words is "nine hundred seventy-two million, nine hundred fifty-two thousand, nine hundred ninety-two".