233728920 has 192 divisors, whose sum is σ = 812579040. Its totient is φ = 58060800.

The previous prime is 233728909. The next prime is 233728927. The reversal of 233728920 is 29827332.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233728927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1107615 + ... + 1107825.

Almost surely, 2^233728920 is an apocalyptic number.

233728920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233728920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406289520).

233728920 is an abundant number, since it is smaller than the sum of its proper divisors (578850120).

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

233728920 is a wasteful number, since it uses less digits than its factorization.

233728920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 233728920 is about 15288.1954461604. The cubic root of 233728920 is about 615.9859655542.

The spelling of 233728920 in words is "two hundred thirty-three million, seven hundred twenty-eight thousand, nine hundred twenty".