128825928 has 192 divisors, whose sum is σ = 458265600. Its totient is φ = 31674240.

The previous prime is 128825923. The next prime is 128825929. The reversal of 128825928 is 829528821.

It is a super-2 number, since 2×128825928² = 33192239450122368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (128825923) 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, 104725 + ... + 105947.

It is an arithmetic number, because the mean of its divisors is an integer number (2386800).

Almost surely, 2^128825928 is an apocalyptic number.

128825928 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 128825928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229132800).

128825928 is an abundant number, since it is smaller than the sum of its proper divisors (329439672).

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

128825928 is a wasteful number, since it uses less digits than its factorization.

128825928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1265 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 128825928 is about 11350.1510122112. The cubic root of 128825928 is about 505.0500594103.

The spelling of 128825928 in words is "one hundred twenty-eight million, eight hundred twenty-five thousand, nine hundred twenty-eight".