230533128 has 112 divisors (see below), whose sum is σ = 740791680. Its totient is φ = 65854944.

The previous prime is 230533123. The next prime is 230533153. The reversal of 230533128 is 821335032.

230533128 is a `hidden beast` number, since 2 + 3 + 0 + 533 + 128 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230533123) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 38001 + ... + 43647.

Almost surely, 2^230533128 is an apocalyptic number.

230533128 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 230533128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370395840).

230533128 is an abundant number, since it is smaller than the sum of its proper divisors (510258552).

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

230533128 is an equidigital number, since it uses as much as digits as its factorization.

230533128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5678 (or 5659 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 230533128 is about 15183.3174240678. The cubic root of 230533128 is about 613.1655986920.

The spelling of 230533128 in words is "two hundred thirty million, five hundred thirty-three thousand, one hundred twenty-eight".