189328464 has 120 divisors (see below), whose sum is σ = 600760160. Its totient is φ = 55178496.

The previous prime is 189328453. The next prime is 189328499. The reversal of 189328464 is 464823981.

It is a happy number.

189328464 is a `hidden beast` number, since 189 + 3 + 2 + 8 + 464 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32907 + ... + 38229.

Almost surely, 2^189328464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189328464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300380080).

189328464 is an abundant number, since it is smaller than the sum of its proper divisors (411431696).

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

189328464 is a wasteful number, since it uses less digits than its factorization.

189328464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5369 (or 5360 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 189328464 is about 13759.6680192510. The cubic root of 189328464 is about 574.2116116503.

The spelling of 189328464 in words is "one hundred eighty-nine million, three hundred twenty-eight thousand, four hundred sixty-four".