128800288 has 48 divisors (see below), whose sum is σ = 263741184. Its totient is φ = 61850880.

The previous prime is 128800283. The next prime is 128800289. The reversal of 128800288 is 882008821.

It is not an unprimeable number, because it can be changed into a prime (128800283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155331 + ... + 156157.

It is an arithmetic number, because the mean of its divisors is an integer number (5494608).

Almost surely, 2^128800288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128800288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131870592).

128800288 is an abundant number, since it is smaller than the sum of its proper divisors (134940896).

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

128800288 is a wasteful number, since it uses less digits than its factorization.

128800288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 37.

The square root of 128800288 is about 11349.0214556146. The cubic root of 128800288 is about 505.0165507761.

The spelling of 128800288 in words is "one hundred twenty-eight million, eight hundred thousand, two hundred eighty-eight".