628878000 has 160 divisors (see below), whose sum is σ = 2040172992. Its totient is φ = 166656000.

The previous prime is 628877987. The next prime is 628878023. The reversal of 628878000 is 878826.

It is a self number, because there is not a number n which added to its sum of digits gives 628878000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1685814 + ... + 1686186.

Almost surely, 2^628878000 is an apocalyptic number.

628878000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628878000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020086496).

628878000 is an abundant number, since it is smaller than the sum of its proper divisors (1411294992).

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

628878000 is a wasteful number, since it uses less digits than its factorization.

628878000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 628878000 is about 25077.4400607399. The cubic root of 628878000 is about 856.7526716144.

The spelling of 628878000 in words is "six hundred twenty-eight million, eight hundred seventy-eight thousand".