626828328 has 128 divisors (see below), whose sum is σ = 2018304000. Its totient is φ = 176541120.

The previous prime is 626828317. The next prime is 626828341. The reversal of 626828328 is 823828626.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104433 + ... + 110271.

It is an arithmetic number, because the mean of its divisors is an integer number (15768000).

Almost surely, 2^626828328 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 626828328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009152000).

626828328 is an abundant number, since it is smaller than the sum of its proper divisors (1391475672).

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

626828328 is a wasteful number, since it uses less digits than its factorization.

626828328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5932 (or 5922 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 626828328 is about 25036.5398567773. The cubic root of 626828328 is about 855.8208675442.

It can be divided in two parts, 6268 and 28328, that added together give a square (34596 = 186²).

The spelling of 626828328 in words is "six hundred twenty-six million, eight hundred twenty-eight thousand, three hundred twenty-eight".