230329728 has 96 divisors (see below), whose sum is σ = 691694640. Its totient is φ = 73430016.

The previous prime is 230329711. The next prime is 230329739. The reversal of 230329728 is 827923032.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 230329692 and 230329701.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 22150 + ... + 30842.

Almost surely, 2^230329728 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 230329728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345847320).

230329728 is an abundant number, since it is smaller than the sum of its proper divisors (461364912).

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

230329728 is a wasteful number, since it uses less digits than its factorization.

230329728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8736 (or 8721 counting only the distinct ones).

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

The square root of 230329728 is about 15176.6178050315. The cubic root of 230329728 is about 612.9852130767.

The spelling of 230329728 in words is "two hundred thirty million, three hundred twenty-nine thousand, seven hundred twenty-eight".