972528336 has 160 divisors (see below), whose sum is σ = 3028139520. Its totient is φ = 297063936.

The previous prime is 972528289. The next prime is 972528353. The reversal of 972528336 is 633825279.

972528336 is a `hidden beast` number, since 97 + 2 + 528 + 3 + 36 = 666.

It is a super-2 number, since 2×972528336² = 1891622728645857792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 972528291 and 972528300.

It is a congruent number.

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, 881161 + ... + 882263.

It is an arithmetic number, because the mean of its divisors is an integer number (18925872).

Almost surely, 2^972528336 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 972528336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514069760).

972528336 is an abundant number, since it is smaller than the sum of its proper divisors (2055611184).

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

972528336 is a wasteful number, since it uses less digits than its factorization.

972528336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1278 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 972528336 is about 31185.3865776905. The cubic root of 972528336 is about 990.7576202495.

The spelling of 972528336 in words is "nine hundred seventy-two million, five hundred twenty-eight thousand, three hundred thirty-six".