232428873600 has 3072 divisors, whose sum is σ = 1165639680000. Its totient is φ = 44706816000.

The previous prime is 232428873587. The next prime is 232428873617. The reversal of 232428873600 is 6378824232.

232428873600 is a `hidden beast` number, since 2 + 3 + 2 + 4 + 288 + 7 + 360 + 0 = 666.

232428873600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7497705585 + ... + 7497705615.

It is an arithmetic number, because the mean of its divisors is an integer number (379440000).

Almost surely, 2^232428873600 is an apocalyptic number.

232428873600 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 232428873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582819840000).

232428873600 is an abundant number, since it is smaller than the sum of its proper divisors (933210806400).

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

232428873600 is a wasteful number, since it uses less digits than its factorization.

232428873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 232428873600 in words is "two hundred thirty-two billion, four hundred twenty-eight million, eight hundred seventy-three thousand, six hundred".