128323584 has 117 divisors (see below), whose sum is σ = 377056303. Its totient is φ = 42049536.

The previous prime is 128323553. The next prime is 128323597. The reversal of 128323584 is 485323821.

The square root of 128323584 is 11328.

It is a perfect power (a square), and thus also a powerful number.

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

It is a Duffinian number.

Its product of digits (46080) is a multiple of the sum of its prime divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2174947 + ... + 2175005.

Almost surely, 2^128323584 is an apocalyptic number.

128323584 is the 11328-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128323584

128323584 is an abundant number, since it is smaller than the sum of its proper divisors (248732719).

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

128323584 is an frugal number, since it uses more digits than its factorization.

128323584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 64 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The cubic root of 128323584 is about 504.3927399868.

Multiplying 128323584 by its sum of digits (36), we get a square (4619649024 = 67968²).

128323584 divided by its sum of digits (36) gives a square (3564544 = 1888²).

The spelling of 128323584 in words is "one hundred twenty-eight million, three hundred twenty-three thousand, five hundred eighty-four".