628436368 has 80 divisors (see below), whose sum is σ = 1428380800. Its totient is φ = 267732864.

The previous prime is 628436353. The next prime is 628436401. The reversal of 628436368 is 863634826.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1684630 + ... + 1685002.

It is an arithmetic number, because the mean of its divisors is an integer number (17854760).

Almost surely, 2^628436368 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 628436368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714190400).

628436368 is an abundant number, since it is smaller than the sum of its proper divisors (799944432).

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

628436368 is a wasteful number, since it uses less digits than its factorization.

628436368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 689 counting only the distinct ones).

The product of its digits is 995328, while the sum is 46.

The square root of 628436368 is about 25068.6331498149. The cubic root of 628436368 is about 856.5520720276.

The spelling of 628436368 in words is "six hundred twenty-eight million, four hundred thirty-six thousand, three hundred sixty-eight".