628632504 has 96 divisors (see below), whose sum is σ = 1790006400. Its totient is φ = 198918720.

The previous prime is 628632503. The next prime is 628632533. The reversal of 628632504 is 405236826.

628632504 is a `hidden beast` number, since 628 + 6 + 3 + 25 + 0 + 4 = 666.

628632504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628632503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228819 + ... + 231549.

It is an arithmetic number, because the mean of its divisors is an integer number (18645900).

Almost surely, 2^628632504 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 628632504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895003200).

628632504 is an abundant number, since it is smaller than the sum of its proper divisors (1161373896).

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

628632504 is a wasteful number, since it uses less digits than its factorization.

628632504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 628632504 is about 25072.5448249674. The cubic root of 628632504 is about 856.6411731846.

The spelling of 628632504 in words is "six hundred twenty-eight million, six hundred thirty-two thousand, five hundred four".