63232128 has 96 divisors (see below), whose sum is σ = 183783600. Its totient is φ = 20866560.

The previous prime is 63232123. The next prime is 63232181. The reversal of 63232128 is 82123236.

63232128 is a `hidden beast` number, since 632 + 3 + 2 + 1 + 28 = 666.

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

It is a super-2 number, since 2×63232128² = 7996604022816768, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (63232123) 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, 150703 + ... + 151121.

Almost surely, 2^63232128 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 63232128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91891800).

63232128 is an abundant number, since it is smaller than the sum of its proper divisors (120551472).

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

63232128 is a wasteful number, since it uses less digits than its factorization.

63232128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 555 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 63232128 is about 7951.8631778974. The cubic root of 63232128 is about 398.3938258103.

The spelling of 63232128 in words is "sixty-three million, two hundred thirty-two thousand, one hundred twenty-eight".