238128 has 60 divisors (see below), whose sum is σ = 692664. Its totient is φ = 70400.

The previous prime is 238109. The next prime is 238141. The reversal of 238128 is 821832.

238128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 238098 and 238107.

It is an unprimeable number.

238128 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, 5788 + ... + 5828.

2²³⁸¹²⁸ 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 238128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346332).

238128 is an abundant number, since it is smaller than the sum of its proper divisors (454536).

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

238128 is a wasteful number, since it uses less digits than its factorization.

238128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 57 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 238128 is about 487.9836062820. The cubic root of 238128 is about 61.9826521010.

The spelling of 238128 in words is "two hundred thirty-eight thousand, one hundred twenty-eight".