128732800 has 144 divisors (see below), whose sum is σ = 370380870. Its totient is φ = 44083200.

The previous prime is 128732777. The next prime is 128732803. The reversal of 128732800 is 8237821.

It can be written as a sum of positive squares in 3 ways, for example, as 81288256 + 47444544 = 9016^2 + 6888^2 .

It is not an unprimeable number, because it can be changed into a prime (128732803) 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, 156390 + ... + 157210.

Almost surely, 2^128732800 is an apocalyptic number.

128732800 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 128732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185190435).

128732800 is an abundant number, since it is smaller than the sum of its proper divisors (241648070).

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

128732800 is an equidigital number, since it uses as much as digits as its factorization.

128732800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 128732800 is about 11346.0477700387. The cubic root of 128732800 is about 504.9283301879.

The spelling of 128732800 in words is "one hundred twenty-eight million, seven hundred thirty-two thousand, eight hundred".