632825028 has 96 divisors (see below), whose sum is σ = 1814574720. Its totient is φ = 189112320.

The previous prime is 632825027. The next prime is 632825047. The reversal of 632825028 is 820528236.

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

It is a junction number, because it is equal to n+sod(n) for n = 632824983 and 632825001.

It is not an unprimeable number, because it can be changed into a prime (632825021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83076 + ... + 90372.

It is an arithmetic number, because the mean of its divisors is an integer number (18901820).

Almost surely, 2^632825028 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 632825028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907287360).

632825028 is an abundant number, since it is smaller than the sum of its proper divisors (1181749692).

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

632825028 is a wasteful number, since it uses less digits than its factorization.

632825028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7394 (or 7386 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 632825028 is about 25156.0137541702. The cubic root of 632825028 is about 858.5413474500.

The spelling of 632825028 in words is "six hundred thirty-two million, eight hundred twenty-five thousand, twenty-eight".