128590128 has 30 divisors (see below), whose sum is σ = 359874164. Its totient is φ = 42863328.

The previous prime is 128590127. The next prime is 128590153. The reversal of 128590128 is 821095821.

It is a super-3 number, since 3×128590128³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 128590092 and 128590101.

It is not an unprimeable number, because it can be changed into a prime (128590123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 446350 + ... + 446637.

Almost surely, 2^128590128 is an apocalyptic number.

128590128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

128590128 is an abundant number, since it is smaller than the sum of its proper divisors (231284036).

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

128590128 is a wasteful number, since it uses less digits than its factorization.

128590128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893001 (or 892992 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 128590128 is about 11339.7587275920. The cubic root of 128590128 is about 504.7417272286.

The spelling of 128590128 in words is "one hundred twenty-eight million, five hundred ninety thousand, one hundred twenty-eight".