230041728 has 256 divisors, whose sum is σ = 800006400. Its totient is φ = 63700992.

The previous prime is 230041727. The next prime is 230041729. The reversal of 230041728 is 827140032.

It is an interprime number because it is at equal distance from previous prime (230041727) and next prime (230041729).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (230041723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 894976 + ... + 895232.

It is an arithmetic number, because the mean of its divisors is an integer number (3125025).

Almost surely, 2^230041728 is an apocalyptic number.

230041728 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 230041728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400003200).

230041728 is an abundant number, since it is smaller than the sum of its proper divisors (569964672).

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

230041728 is a wasteful number, since it uses less digits than its factorization.

230041728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 230041728 is about 15167.1265571301. The cubic root of 230041728 is about 612.7296180873.

The spelling of 230041728 in words is "two hundred thirty million, forty-one thousand, seven hundred twenty-eight".