230230728000 has 2688 divisors, whose sum is σ = 1127705379840. Its totient is φ = 44856115200.

The previous prime is 230230727989. The next prime is 230230728037. The reversal of 230230728000 is 827032032.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4343975974 + ... + 4343976026.

Almost surely, 2^230230728000 is an apocalyptic number.

230230728000 is a gapful number since it is divisible by the number (20) 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 230230728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563852689920).

230230728000 is an abundant number, since it is smaller than the sum of its proper divisors (897474651840).

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

230230728000 is a wasteful number, since it uses less digits than its factorization.

230230728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 230230728000 in words is "two hundred thirty billion, two hundred thirty million, seven hundred twenty-eight thousand".