188328 has 64 divisors (see below), whose sum is σ = 576000. Its totient is φ = 50112.

The previous prime is 188323. The next prime is 188333. The reversal of 188328 is 823881.

It is an interprime number because it is at equal distance from previous prime (188323) and next prime (188333).

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 = 188295 and 188304.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 188328.

It is not an unprimeable number, because it can be changed into a prime (188323) by changing a digit.

188328 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3163 + ... + 3221.

It is an arithmetic number, because the mean of its divisors is an integer number (9000).

2¹⁸⁸³²⁸ 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 188328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288000).

188328 is an abundant number, since it is smaller than the sum of its proper divisors (387672).

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

188328 is a wasteful number, since it uses less digits than its factorization.

188328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 90 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 188328 is about 433.9677407366. The cubic root of 188328 is about 57.3198393819.

The spelling of 188328 in words is "one hundred eighty-eight thousand, three hundred twenty-eight".