63313728 has 112 divisors (see below), whose sum is σ = 176662080. Its totient is φ = 19984384.

The previous prime is 63313711. The next prime is 63313751. The reversal of 63313728 is 82731336.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462076 + ... + 462212.

It is an arithmetic number, because the mean of its divisors is an integer number (1577340).

Almost surely, 2^63313728 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 63313728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88331040).

63313728 is an abundant number, since it is smaller than the sum of its proper divisors (113348352).

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

63313728 is a wasteful number, since it uses less digits than its factorization.

63313728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 254 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 63313728 is about 7956.9923966283. The cubic root of 63313728 is about 398.5651256603.

The spelling of 63313728 in words is "sixty-three million, three hundred thirteen thousand, seven hundred twenty-eight".