128570400 has 216 divisors, whose sum is σ = 518341824. Its totient is φ = 29376000.

The previous prime is 128570389. The next prime is 128570401. The reversal of 128570400 is 4075821.

It is not an unprimeable number, because it can be changed into a prime (128570401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49125 + ... + 51675.

Almost surely, 2^128570400 is an apocalyptic number.

128570400 is a gapful number since it is divisible by the number (10) 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 128570400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259170912).

128570400 is an abundant number, since it is smaller than the sum of its proper divisors (389771424).

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

128570400 is a wasteful number, since it uses less digits than its factorization.

128570400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 128570400 is about 11338.8888344493. Note that the first 4 decimals coincide. The cubic root of 128570400 is about 504.7159138057.

The spelling of 128570400 in words is "one hundred twenty-eight million, five hundred seventy thousand, four hundred".