128589120 has 420 divisors, whose sum is σ = 515040372. Its totient is φ = 30412800.

The previous prime is 128589101. The next prime is 128589121. The reversal of 128589120 is 21985821.

It can be written as a sum of positive squares in 2 ways, for example, as 22581504 + 106007616 = 4752^2 + 10296^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128589121) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3136300 + ... + 3136340.

Almost surely, 2^128589120 is an apocalyptic number.

128589120 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 128589120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257520186).

128589120 is an abundant number, since it is smaller than the sum of its proper divisors (386451252).

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

128589120 is a wasteful number, since it uses less digits than its factorization.

128589120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 62 counting only the distinct ones).

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

The square root of 128589120 is about 11339.7142821149. The cubic root of 128589120 is about 504.7404083586.

The spelling of 128589120 in words is "one hundred twenty-eight million, five hundred eighty-nine thousand, one hundred twenty".