63332928 has 140 divisors (see below), whose sum is σ = 197926960. Its totient is φ = 19968768.

The previous prime is 63332917. The next prime is 63332953. The reversal of 63332928 is 82923336.

It is a super-2 number, since 2×63332928² = 8022119538106368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 63332892 and 63332901.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 98175 + ... + 98817.

It is an arithmetic number, because the mean of its divisors is an integer number (1413764).

Almost surely, 2^63332928 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 63332928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98963480).

63332928 is an abundant number, since it is smaller than the sum of its proper divisors (134594032).

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

63332928 is a wasteful number, since it uses less digits than its factorization.

63332928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 667 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 63332928 is about 7958.1987911838. The cubic root of 63332928 is about 398.6054101149.

It can be divided in two parts, 6333 and 2928, that added together give a cube (9261 = 21³).

The spelling of 63332928 in words is "sixty-three million, three hundred thirty-two thousand, nine hundred twenty-eight".