628632 has 24 divisors (see below), whose sum is σ = 1702740. Its totient is φ = 209520.

The previous prime is 628591. The next prime is 628651. The reversal of 628632 is 236826.

628632 is a `hidden beast` number, since 6 + 28 + 632 = 666.

628632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

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 = 628596 and 628605.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 628632.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4294 + ... + 4437.

2⁶²⁸⁶³² is an apocalyptic number.

It is an amenable number.

628632 is an abundant number, since it is smaller than the sum of its proper divisors (1074108).

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

628632 is a wasteful number, since it uses less digits than its factorization.

628632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8743 (or 8736 counting only the distinct ones).

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

The square root of 628632 is about 792.8631660003. The cubic root of 628632 is about 85.6640944250.

The spelling of 628632 in words is "six hundred twenty-eight thousand, six hundred thirty-two".