188928 has 60 divisors (see below), whose sum is σ = 558558. Its totient is φ = 61440.

The previous prime is 188927. The next prime is 188933. The reversal of 188928 is 829881.

188928 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 186624 + 2304 = 432^2 + 48^2 .

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

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

It is a junction number, because it is equal to n+sod(n) for n = 188892 and 188901.

It is not an unprimeable number, because it can be changed into a prime (188927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4588 + ... + 4628.

2¹⁸⁸⁹²⁸ is an apocalyptic number.

188928 is a gapful number since it is divisible by the number (18) 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 188928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279279).

188928 is an abundant number, since it is smaller than the sum of its proper divisors (369630).

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

188928 is an equidigital number, since it uses as much as digits as its factorization.

188928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 46 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 188928 is about 434.6584866306. The cubic root of 188928 is about 57.3806472007.

The spelling of 188928 in words is "one hundred eighty-eight thousand, nine hundred twenty-eight".