128440800 has 108 divisors (see below), whose sum is σ = 452939760. Its totient is φ = 34248960.

The previous prime is 128440771. The next prime is 128440811. The reversal of 128440800 is 8044821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1720 + ... + 16119.

Almost surely, 2^128440800 is an apocalyptic number.

128440800 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 128440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226469880).

128440800 is an abundant number, since it is smaller than the sum of its proper divisors (324498960).

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

128440800 is a wasteful number, since it uses less digits than its factorization.

128440800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17865 (or 17849 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 128440800 is about 11333.1725478791. The cubic root of 128440800 is about 504.5462708887.

The spelling of 128440800 in words is "one hundred twenty-eight million, four hundred forty thousand, eight hundred".