628408128 has 112 divisors (see below), whose sum is σ = 1853305920. Its totient is φ = 186753024.

The previous prime is 628408117. The next prime is 628408159. The reversal of 628408128 is 821804826.

628408128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 56950 + ... + 67082.

Almost surely, 2^628408128 is an apocalyptic number.

628408128 is a gapful number since it is divisible by the number (68) 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 628408128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926652960).

628408128 is an abundant number, since it is smaller than the sum of its proper divisors (1224897792).

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

628408128 is a wasteful number, since it uses less digits than its factorization.

628408128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10184 (or 10174 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 628408128 is about 25068.0698898020. The cubic root of 628408128 is about 856.5392415624.

The spelling of 628408128 in words is "six hundred twenty-eight million, four hundred eight thousand, one hundred twenty-eight".