233328 has 20 divisors (see below), whose sum is σ = 602888. Its totient is φ = 77760.

The previous prime is 233327. The next prime is 233329. The reversal of 233328 is 823332.

233328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (233327) and next prime (233329).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 233328.

It is not an unprimeable number, because it can be changed into a prime (233323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2383 + ... + 2478.

2²³³³²⁸ is an apocalyptic number.

It is an amenable number.

233328 is an abundant number, since it is smaller than the sum of its proper divisors (369560).

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

233328 is a wasteful number, since it uses less digits than its factorization.

233328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4872 (or 4866 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 233328 is about 483.0403709836. The cubic root of 233328 is about 61.5633559536.

It can be divided in two parts, 233 and 328, that added together give a triangular number (561 = T₃₃).

The spelling of 233328 in words is "two hundred thirty-three thousand, three hundred twenty-eight".