128864628 has 48 divisors (see below), whose sum is σ = 335547520. Its totient is φ = 42768000.

The previous prime is 128864609. The next prime is 128864629. The reversal of 128864628 is 826468821.

128864628 is a `hidden beast` number, since 12 + 8 + 8 + 6 + 4 + 628 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128864629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23553 + ... + 28503.

Almost surely, 2^128864628 is an apocalyptic number.

128864628 is a gapful number since it is divisible by the number (18) 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 128864628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167773760).

128864628 is an abundant number, since it is smaller than the sum of its proper divisors (206682892).

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

128864628 is a wasteful number, since it uses less digits than its factorization.

128864628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5205 (or 5197 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 128864628 is about 11351.8557073282. The cubic root of 128864628 is about 505.1006275963.

The spelling of 128864628 in words is "one hundred twenty-eight million, eight hundred sixty-four thousand, six hundred twenty-eight".