128488800 has 288 divisors, whose sum is σ = 473969664. Its totient is φ = 29952000.

The previous prime is 128488799. The next prime is 128488813. The reversal of 128488800 is 8884821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 818322 + ... + 818478.

It is an arithmetic number, because the mean of its divisors is an integer number (1645728).

Almost surely, 2^128488800 is an apocalyptic number.

128488800 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 128488800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236984832).

128488800 is an abundant number, since it is smaller than the sum of its proper divisors (345480864).

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

128488800 is a wasteful number, since it uses less digits than its factorization.

128488800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 39.

The square root of 128488800 is about 11335.2900271674. The cubic root of 128488800 is about 504.6091148987.

The spelling of 128488800 in words is "one hundred twenty-eight million, four hundred eighty-eight thousand, eight hundred".