628128128 has 32 divisors (see below), whose sum is σ = 1262451960. Its totient is φ = 311277568.

The previous prime is 628128119. The next prime is 628128167. The reversal of 628128128 is 821821826.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×628128128³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 628128091 and 628128100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7250 + ... + 36177.

Almost surely, 2^628128128 is an apocalyptic number.

It is an amenable number.

628128128 is an abundant number, since it is smaller than the sum of its proper divisors (634323832).

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

628128128 is a wasteful number, since it uses less digits than its factorization.

628128128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43554 (or 43542 counting only the distinct ones).

The product of its digits is 24576, while the sum is 38.

The square root of 628128128 is about 25062.4844738107. The cubic root of 628128128 is about 856.4120065133.

The spelling of 628128128 in words is "six hundred twenty-eight million, one hundred twenty-eight thousand, one hundred twenty-eight".