628223904 has 576 divisors, whose sum is σ = 2482099200. Its totient is φ = 152409600.

The previous prime is 628223887. The next prime is 628223963. The reversal of 628223904 is 409322826.

628223904 is a `hidden beast` number, since 628 + 2 + 23 + 9 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8848189 + ... + 8848259.

It is an arithmetic number, because the mean of its divisors is an integer number (4309200).

Almost surely, 2^628223904 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 628223904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241049600).

628223904 is an abundant number, since it is smaller than the sum of its proper divisors (1853875296).

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

628223904 is a wasteful number, since it uses less digits than its factorization.

628223904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 628223904 is about 25064.3951453052. The cubic root of 628223904 is about 856.4555324247.

The spelling of 628223904 in words is "six hundred twenty-eight million, two hundred twenty-three thousand, nine hundred four".