128444800 has 192 divisors, whose sum is σ = 358570800. Its totient is φ = 45056000.

The previous prime is 128444783. The next prime is 128444821. The reversal of 128444800 is 8444821.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1443156 + ... + 1443244.

Almost surely, 2^128444800 is an apocalyptic number.

128444800 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 128444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179285400).

128444800 is an abundant number, since it is smaller than the sum of its proper divisors (230126000).

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

128444800 is a wasteful number, since it uses less digits than its factorization.

128444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

The square root of 128444800 is about 11333.3490195970. The cubic root of 128444800 is about 504.5515084875.

The spelling of 128444800 in words is "one hundred twenty-eight million, four hundred forty-four thousand, eight hundred".