128627968 has 72 divisors (see below), whose sum is σ = 295807680. Its totient is φ = 54681600.

The previous prime is 128627953. The next prime is 128628023. The reversal of 128627968 is 869726821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 320568 + ... + 320968.

It is an arithmetic number, because the mean of its divisors is an integer number (4108440).

Almost surely, 2^128627968 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 128627968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147903840).

128627968 is an abundant number, since it is smaller than the sum of its proper divisors (167179712).

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

128627968 is an equidigital number, since it uses as much as digits as its factorization.

128627968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 589 counting only the distinct ones).

The product of its digits is 580608, while the sum is 49.

The square root of 128627968 is about 11341.4270706997. The cubic root of 128627968 is about 504.7912322051.

The spelling of 128627968 in words is "one hundred twenty-eight million, six hundred twenty-seven thousand, nine hundred sixty-eight".