632458728 has 96 divisors (see below), whose sum is σ = 1887013440. Its totient is φ = 189768960.

The previous prime is 632458711. The next prime is 632458733. The reversal of 632458728 is 827854236.

632458728 is a `hidden beast` number, since 63 + 2 + 4 + 587 + 2 + 8 = 666.

632458728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77700 + ... + 85452.

It is an arithmetic number, because the mean of its divisors is an integer number (19656390).

Almost surely, 2^632458728 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 632458728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943506720).

632458728 is an abundant number, since it is smaller than the sum of its proper divisors (1254554712).

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

632458728 is a wasteful number, since it uses less digits than its factorization.

632458728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7879 (or 7872 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 632458728 is about 25148.7321350401. The cubic root of 632458728 is about 858.3756647947.

The spelling of 632458728 in words is "six hundred thirty-two million, four hundred fifty-eight thousand, seven hundred twenty-eight".