972924288 has 128 divisors (see below), whose sum is σ = 3082129920. Its totient is φ = 265875456.

The previous prime is 972924283. The next prime is 972924341. The reversal of 972924288 is 882429279.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 972924288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972924283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53956 + ... + 69692.

It is an arithmetic number, because the mean of its divisors is an integer number (24079140).

Almost surely, 2^972924288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972924288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541064960).

972924288 is an abundant number, since it is smaller than the sum of its proper divisors (2109205632).

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

972924288 is a wasteful number, since it uses less digits than its factorization.

972924288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15784 (or 15772 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 972924288 is about 31191.7342897121. The cubic root of 972924288 is about 990.8920599430.

The spelling of 972924288 in words is "nine hundred seventy-two million, nine hundred twenty-four thousand, two hundred eighty-eight".