965478528 has 320 divisors, whose sum is σ = 3358998720. Its totient is φ = 269568000.

The previous prime is 965478517. The next prime is 965478529. The reversal of 965478528 is 825874569.

965478528 is a `hidden beast` number, since 96 + 547 + 8 + 5 + 2 + 8 = 666.

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 (965478529) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3846403 + ... + 3846653.

It is an arithmetic number, because the mean of its divisors is an integer number (10496871).

Almost surely, 2^965478528 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 965478528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679499360).

965478528 is an abundant number, since it is smaller than the sum of its proper divisors (2393520192).

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

965478528 is a wasteful number, since it uses less digits than its factorization.

965478528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 316 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 965478528 is about 31072.1503600893. The cubic root of 965478528 is about 988.3578285034.

The spelling of 965478528 in words is "nine hundred sixty-five million, four hundred seventy-eight thousand, five hundred twenty-eight".