128840800 has 108 divisors (see below), whose sum is σ = 345985668. Its totient is φ = 46851200.

The previous prime is 128840749. The next prime is 128840801. The reversal of 128840800 is 8048821.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128840801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11712795 + ... + 11712805.

It is an arithmetic number, because the mean of its divisors is an integer number (3203571).

Almost surely, 2^128840800 is an apocalyptic number.

128840800 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 128840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172992834).

128840800 is an abundant number, since it is smaller than the sum of its proper divisors (217144868).

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

128840800 is an frugal number, since it uses more digits than its factorization.

128840800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 128840800 is about 11350.8061387727. The cubic root of 128840800 is about 505.0694934264.

The spelling of 128840800 in words is "one hundred twenty-eight million, eight hundred forty thousand, eight hundred".