230872588128 has 432 divisors, whose sum is σ = 824037112080. Its totient is φ = 60774561792.

The previous prime is 230872588097. The next prime is 230872588159. The reversal of 230872588128 is 821885278032.

230872588128 is a `hidden beast` number, since 2 + 30 + 8 + 7 + 2 + 588 + 1 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (230872588097) and next prime (230872588159).

It is a super-2 number, since 2×230872588128² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 146213643 + ... + 146215221.

It is an arithmetic number, because the mean of its divisors is an integer number (1907493315).

Almost surely, 2^230872588128 is an apocalyptic number.

230872588128 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 230872588128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412018556040).

230872588128 is an abundant number, since it is smaller than the sum of its proper divisors (593164523952).

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

230872588128 is a wasteful number, since it uses less digits than its factorization.

230872588128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2419 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 230872588128 in words is "two hundred thirty billion, eight hundred seventy-two million, five hundred eighty-eight thousand, one hundred twenty-eight".