233569728 has 168 divisors, whose sum is σ = 780275808. Its totient is φ = 65415168.

The previous prime is 233569723. The next prime is 233569753. The reversal of 233569728 is 827965332.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233569723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213150 + ... + 214242.

Almost surely, 2^233569728 is an apocalyptic number.

233569728 is a gapful number since it is divisible by the number (28) 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 233569728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390137904).

233569728 is an abundant number, since it is smaller than the sum of its proper divisors (546706080).

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

233569728 is a wasteful number, since it uses less digits than its factorization.

233569728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1158 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 233569728 is about 15282.9881894870. The cubic root of 233569728 is about 615.8460851191.

The spelling of 233569728 in words is "two hundred thirty-three million, five hundred sixty-nine thousand, seven hundred twenty-eight".