230728188437424 has 240 divisors, whose sum is σ = 705795292710144. Its totient is φ = 70046484480000.

The previous prime is 230728188437387. The next prime is 230728188437447. The reversal of 230728188437424 is 424734881827032.

230728188437424 is a `hidden beast` number, since 2 + 3 + 0 + 7 + 2 + 81 + 88 + 437 + 42 + 4 = 666.

230728188437424 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1593651502 + ... + 1593796274.

Almost surely, 2^{230728188437424} is an apocalyptic number.

230728188437424 is a gapful number since it is divisible by the number (24) 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 230728188437424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352897646355072).

230728188437424 is an abundant number, since it is smaller than the sum of its proper divisors (475067104272720).

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

230728188437424 is a wasteful number, since it uses less digits than its factorization.

230728188437424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165836 (or 165827 counting only the distinct ones).

The product of its (nonzero) digits is 115605504, while the sum is 63.

The spelling of 230728188437424 in words is "two hundred thirty trillion, seven hundred twenty-eight billion, one hundred eighty-eight million, four hundred thirty-seven thousand, four hundred twenty-four".