965986528 has 96 divisors (see below), whose sum is σ = 2128400064. Its totient is φ = 428654592.

The previous prime is 965986487. The next prime is 965986561. The reversal of 965986528 is 825689569.

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, 1492701 + ... + 1493347.

It is an arithmetic number, because the mean of its divisors is an integer number (22170834).

Almost surely, 2^965986528 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 965986528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064200032).

965986528 is an abundant number, since it is smaller than the sum of its proper divisors (1162413536).

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

965986528 is a wasteful number, since it uses less digits than its factorization.

965986528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 796 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 58.

The square root of 965986528 is about 31080.3238078370. The cubic root of 965986528 is about 988.5311441972.

The spelling of 965986528 in words is "nine hundred sixty-five million, nine hundred eighty-six thousand, five hundred twenty-eight".