628856928 has 288 divisors, whose sum is σ = 2207761920. Its totient is φ = 165703680.

The previous prime is 628856857. The next prime is 628856929. The reversal of 628856928 is 829658826.

628856928 is a `hidden beast` number, since 628 + 8 + 5 + 6 + 9 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×628856928² = 790922071787194368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628856929) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2021893 + ... + 2022203.

It is an arithmetic number, because the mean of its divisors is an integer number (7665840).

Almost surely, 2^628856928 is an apocalyptic number.

628856928 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 628856928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103880960).

628856928 is an abundant number, since it is smaller than the sum of its proper divisors (1578904992).

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

628856928 is a wasteful number, since it uses less digits than its factorization.

628856928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 399 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 628856928 is about 25077.0199186426. The cubic root of 628856928 is about 856.7431023530.

The spelling of 628856928 in words is "six hundred twenty-eight million, eight hundred fifty-six thousand, nine hundred twenty-eight".