230365728 has 96 divisors (see below), whose sum is σ = 707313600. Its totient is φ = 72741888.

The previous prime is 230365721. The next prime is 230365777. The reversal of 230365728 is 827563032.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 230365692 and 230365701.

It is not an unprimeable number, because it can be changed into a prime (230365721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9400 + ... + 23432.

It is an arithmetic number, because the mean of its divisors is an integer number (7367850).

Almost surely, 2^230365728 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 230365728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353656800).

230365728 is an abundant number, since it is smaller than the sum of its proper divisors (476947872).

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

230365728 is a wasteful number, since it uses less digits than its factorization.

230365728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14071 (or 14057 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 230365728 is about 15177.8037936982. The cubic root of 230365728 is about 613.0171474667.

The spelling of 230365728 in words is "two hundred thirty million, three hundred sixty-five thousand, seven hundred twenty-eight".