233785728 has 192 divisors, whose sum is σ = 773323200. Its totient is φ = 67046400.

The previous prime is 233785723. The next prime is 233785759. The reversal of 233785728 is 827587332.

233785728 is a `hidden beast` number, since 2 + 3 + 3 + 78 + 572 + 8 = 666.

233785728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×233785728³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233785723) 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, 240283 + ... + 241253.

It is an arithmetic number, because the mean of its divisors is an integer number (4027725).

Almost surely, 2^233785728 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 233785728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386661600).

233785728 is an abundant number, since it is smaller than the sum of its proper divisors (539537472).

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

233785728 is a wasteful number, since it uses less digits than its factorization.

233785728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1006 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 233785728 is about 15290.0532373174. The cubic root of 233785728 is about 616.0358668046.

The spelling of 233785728 in words is "two hundred thirty-three million, seven hundred eighty-five thousand, seven hundred twenty-eight".