972611328 has 144 divisors (see below), whose sum is σ = 2835158816. Its totient is φ = 294174720.

The previous prime is 972611317. The next prime is 972611399. The reversal of 972611328 is 823116279.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 608226 + ... + 609822.

Almost surely, 2^972611328 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 972611328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417579408).

972611328 is an abundant number, since it is smaller than the sum of its proper divisors (1862547488).

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

972611328 is a wasteful number, since it uses less digits than its factorization.

972611328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1676 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 972611328 is about 31186.7171725400. The cubic root of 972611328 is about 990.7858019879.

It can be divided in two parts, 97261 and 1328, that added together give a palindrome (98589).

The spelling of 972611328 in words is "nine hundred seventy-two million, six hundred eleven thousand, three hundred twenty-eight".