233505328 has 40 divisors (see below), whose sum is σ = 518057120. Its totient is φ = 99878400.

The previous prime is 233505313. The next prime is 233505329. The reversal of 233505328 is 823505332.

It is a self number, because there is not a number n which added to its sum of digits gives 233505328.

It is not an unprimeable number, because it can be changed into a prime (233505329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65578 + ... + 69046.

It is an arithmetic number, because the mean of its divisors is an integer number (12951428).

Almost surely, 2^233505328 is an apocalyptic number.

233505328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

233505328 is an abundant number, since it is smaller than the sum of its proper divisors (284551792).

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

233505328 is a wasteful number, since it uses less digits than its factorization.

233505328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4085 (or 4079 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 233505328 is about 15280.8811264272. The cubic root of 233505328 is about 615.7894794196.

The spelling of 233505328 in words is "two hundred thirty-three million, five hundred five thousand, three hundred twenty-eight".