628136960 has 176 divisors, whose sum is σ = 1733235840. Its totient is φ = 216023040.

The previous prime is 628136959. The next prime is 628137019. The reversal of 628136960 is 69631826.

It is a tau number, because it is divible by the number of its divisors (176).

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, 1069787 + ... + 1070373.

Almost surely, 2^628136960 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 628136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866617920).

628136960 is an abundant number, since it is smaller than the sum of its proper divisors (1105098880).

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

628136960 is a wasteful number, since it uses less digits than its factorization.

628136960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 628136960 is about 25062.6606728017. The cubic root of 628136960 is about 856.4160204478.

The spelling of 628136960 in words is "six hundred twenty-eight million, one hundred thirty-six thousand, nine hundred sixty".