972283320 has 192 divisors, whose sum is σ = 3269185920. Its totient is φ = 250451712.

The previous prime is 972283303. The next prime is 972283321. The reversal of 972283320 is 23382279.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972283321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1656067 + ... + 1656653.

It is an arithmetic number, because the mean of its divisors is an integer number (17027010).

Almost surely, 2^972283320 is an apocalyptic number.

972283320 is a gapful number since it is divisible by the number (90) 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 972283320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634592960).

972283320 is an abundant number, since it is smaller than the sum of its proper divisors (2296902600).

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

972283320 is a wasteful number, since it uses less digits than its factorization.

972283320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 972283320 is about 31181.4579518021. The cubic root of 972283320 is about 990.6744103833.

The spelling of 972283320 in words is "nine hundred seventy-two million, two hundred eighty-three thousand, three hundred twenty".