233616328 has 32 divisors (see below), whose sum is σ = 481043520. Its totient is φ = 105480000.

The previous prime is 233616323. The next prime is 233616349. The reversal of 233616328 is 823616332.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 233616293 and 233616302.

It is not an unprimeable number, because it can be changed into a prime (233616323) 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, 4498 + ... + 22078.

It is an arithmetic number, because the mean of its divisors is an integer number (15032610).

Almost surely, 2^233616328 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 233616328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240521760).

233616328 is an abundant number, since it is smaller than the sum of its proper divisors (247427192).

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

233616328 is a wasteful number, since it uses less digits than its factorization.

233616328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17749 (or 17745 counting only the distinct ones).

The product of its digits is 31104, while the sum is 34.

The square root of 233616328 is about 15284.5126844136. The cubic root of 233616328 is about 615.8870386558.

The spelling of 233616328 in words is "two hundred thirty-three million, six hundred sixteen thousand, three hundred twenty-eight".