128257600 has 84 divisors (see below), whose sum is σ = 332282800. Its totient is φ = 48591360.

The previous prime is 128257567. The next prime is 128257601. The reversal of 128257600 is 6752821.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (128257601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28291 + ... + 32509.

Almost surely, 2^128257600 is an apocalyptic number.

128257600 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 128257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166141400).

128257600 is an abundant number, since it is smaller than the sum of its proper divisors (204025200).

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

128257600 is a wasteful number, since it uses less digits than its factorization.

128257600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4260 (or 4245 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 128257600 is about 11325.0871961323. The cubic root of 128257600 is about 504.3062722317.

The spelling of 128257600 in words is "one hundred twenty-eight million, two hundred fifty-seven thousand, six hundred".