230289728 has 56 divisors (see below), whose sum is σ = 483717600. Its totient is φ = 108476928.

The previous prime is 230289727. The next prime is 230289757. The reversal of 230289728 is 827982032.

230289728 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×230289728³ (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 (230289721) 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, 278051 + ... + 278877.

Almost surely, 2^230289728 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 230289728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241858800).

230289728 is an abundant number, since it is smaller than the sum of its proper divisors (253427872).

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

230289728 is a wasteful number, since it uses less digits than its factorization.

230289728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 230289728 is about 15175.2999311381. The cubic root of 230289728 is about 612.9497265183.

The spelling of 230289728 in words is "two hundred thirty million, two hundred eighty-nine thousand, seven hundred twenty-eight".