128593900 has 72 divisors (see below), whose sum is σ = 299512080. Its totient is φ = 47773440.

The previous prime is 128593889. The next prime is 128593901. The reversal of 128593900 is 9395821.

It is a super-2 number, since 2×128593900² = 33072782234420000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 128593900.

It is not an unprimeable number, because it can be changed into a prime (128593901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100062 + ... + 101338.

It is an arithmetic number, because the mean of its divisors is an integer number (4159890).

Almost surely, 2^128593900 is an apocalyptic number.

128593900 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 128593900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149756040).

128593900 is an abundant number, since it is smaller than the sum of its proper divisors (170918180).

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

128593900 is a wasteful number, since it uses less digits than its factorization.

128593900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 128593900 is about 11339.9250438440. The cubic root of 128593900 is about 504.7466624628.

The spelling of 128593900 in words is "one hundred twenty-eight million, five hundred ninety-three thousand, nine hundred".