233364128 has 48 divisors (see below), whose sum is σ = 476534016. Its totient is φ = 112412160.

The previous prime is 233364127. The next prime is 233364133. The reversal of 233364128 is 821463332.

233364128 is digitally balanced in base 2, 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 (32).

It is a junction number, because it is equal to n+sod(n) for n = 233364094 and 233364103.

It is not an unprimeable number, because it can be changed into a prime (233364127) 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, 107825 + ... + 109967.

It is an arithmetic number, because the mean of its divisors is an integer number (9927792).

Almost surely, 2^233364128 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 233364128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238267008).

233364128 is an abundant number, since it is smaller than the sum of its proper divisors (243169888).

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

233364128 is a wasteful number, since it uses less digits than its factorization.

233364128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2277 (or 2269 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The square root of 233364128 is about 15276.2602753423. The cubic root of 233364128 is about 615.6653323503.

The spelling of 233364128 in words is "two hundred thirty-three million, three hundred sixty-four thousand, one hundred twenty-eight".