232305308928 has 648 divisors, whose sum is σ = 854273006496. Its totient is φ = 60034867200.

The previous prime is 232305308927. The next prime is 232305308959. The reversal of 232305308928 is 829803503232.

232305308928 is a `hidden beast` number, since 2 + 3 + 2 + 30 + 530 + 89 + 2 + 8 = 666.

It is a super-2 number, since 2×232305308928² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232305308927) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 351444918 + ... + 351445578.

Almost surely, 2^232305308928 is an apocalyptic number.

232305308928 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 232305308928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427136503248).

232305308928 is an abundant number, since it is smaller than the sum of its proper divisors (621967697568).

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

232305308928 is a wasteful number, since it uses less digits than its factorization.

232305308928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 232305308928 in words is "two hundred thirty-two billion, three hundred five million, three hundred eight thousand, nine hundred twenty-eight".