965597328 has 160 divisors (see below), whose sum is σ = 2980761600. Its totient is φ = 298318464.

The previous prime is 965597323. The next prime is 965597333. The reversal of 965597328 is 823795569.

It is an interprime number because it is at equal distance from previous prime (965597323) and next prime (965597333).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (965597323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384525 + ... + 387027.

It is an arithmetic number, because the mean of its divisors is an integer number (18629760).

Almost surely, 2^965597328 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 965597328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490380800).

965597328 is an abundant number, since it is smaller than the sum of its proper divisors (2015164272).

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

965597328 is a wasteful number, since it uses less digits than its factorization.

965597328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2586 (or 2574 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The square root of 965597328 is about 31074.0619810156. The cubic root of 965597328 is about 988.3983652566.

The spelling of 965597328 in words is "nine hundred sixty-five million, five hundred ninety-seven thousand, three hundred twenty-eight".