233628500 has 48 divisors (see below), whose sum is σ = 583145472. Its totient is φ = 80100000.

The previous prime is 233628469. The next prime is 233628509. The reversal of 233628500 is 5826332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233628509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29876 + ... + 36875.

It is an arithmetic number, because the mean of its divisors is an integer number (12148864).

Almost surely, 2^233628500 is an apocalyptic number.

233628500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233628500 is an abundant number, since it is smaller than the sum of its proper divisors (349516972).

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

233628500 is a wasteful number, since it uses less digits than its factorization.

233628500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66777 (or 66765 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 233628500 is about 15284.9108600607. The cubic root of 233628500 is about 615.8977348928.

The spelling of 233628500 in words is "two hundred thirty-three million, six hundred twenty-eight thousand, five hundred".