232128 has 84 divisors (see below), whose sum is σ = 739648. Its totient is φ = 69120.

The previous prime is 232117. The next prime is 232129. The reversal of 232128 is 821232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 232128.

It is not an unprimeable number, because it can be changed into a prime (232129) by changing a digit.

232128 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 11 ways as a sum of consecutive naturals, for example, 7473 + ... + 7503.

2²³²¹²⁸ 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 232128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369824).

232128 is an abundant number, since it is smaller than the sum of its proper divisors (507520).

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

232128 is a wasteful number, since it uses less digits than its factorization.

232128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 49 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 232128 is about 481.7966375972. The cubic root of 232128 is about 61.4576349118.

It can be divided in two parts, 23212 and 8, that added together give a triangular number (23220 = T₂₁₅).

The spelling of 232128 in words is "two hundred thirty-two thousand, one hundred twenty-eight".