972883296 has 288 divisors, whose sum is σ = 3632428800. Its totient is φ = 239293440.

The previous prime is 972883253. The next prime is 972883321. The reversal of 972883296 is 692388279.

It is a happy number.

972883296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 420190 + ... + 422498.

It is an arithmetic number, because the mean of its divisors is an integer number (12612600).

Almost surely, 2^972883296 is an apocalyptic number.

972883296 is a gapful number since it is divisible by the number (96) 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 972883296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816214400).

972883296 is an abundant number, since it is smaller than the sum of its proper divisors (2659545504).

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

972883296 is a wasteful number, since it uses less digits than its factorization.

972883296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2351 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 972883296 is about 31191.0771856311. The cubic root of 972883296 is about 990.8781434035.

The spelling of 972883296 in words is "nine hundred seventy-two million, eight hundred eighty-three thousand, two hundred ninety-six".