189728 has 54 divisors (see below), whose sum is σ = 477603. Its totient is φ = 73920.

The previous prime is 189713. The next prime is 189733. The reversal of 189728 is 827981.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

189728 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in only one way, i.e., 94864 + 94864 = 308^2 + 308^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=308.

It is an unprimeable number.

189728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17243 + ... + 17253.

2¹⁸⁹⁷²⁸ 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 189728

189728 is an abundant number, since it is smaller than the sum of its proper divisors (287875).

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

189728 is a wasteful number, since it uses less digits than its factorization.

189728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 20 counting only the distinct ones).

The product of its digits is 8064, while the sum is 35.

The square root of 189728 is about 435.5777772109. The cubic root of 189728 is about 57.4615243546.

The spelling of 189728 in words is "one hundred eighty-nine thousand, seven hundred twenty-eight".