965628288 has 96 divisors (see below), whose sum is σ = 2942208360. Its totient is φ = 302936064.

The previous prime is 965628259. The next prime is 965628289. The reversal of 965628288 is 882826569.

965628288 is a `hidden beast` number, since 9 + 6 + 5 + 628 + 2 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965628289) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5070 + ... + 44237.

Almost surely, 2^965628288 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 965628288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471104180).

965628288 is an abundant number, since it is smaller than the sum of its proper divisors (1976580072).

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

965628288 is a wasteful number, since it uses less digits than its factorization.

965628288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49344 (or 49329 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 965628288 is about 31074.5601416979. The cubic root of 965628288 is about 988.4089288340.

The spelling of 965628288 in words is "nine hundred sixty-five million, six hundred twenty-eight thousand, two hundred eighty-eight".