233979638928 has 480 divisors, whose sum is σ = 746380800000. Its totient is φ = 62888555520.

The previous prime is 233979638887. The next prime is 233979638929. The reversal of 233979638928 is 829836979332.

233979638928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (233979638929) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 468896823 + ... + 468897321.

It is an arithmetic number, because the mean of its divisors is an integer number (1554960000).

Almost surely, 2^233979638928 is an apocalyptic number.

233979638928 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 233979638928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373190400000).

233979638928 is an abundant number, since it is smaller than the sum of its proper divisors (512401161072).

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

233979638928 is a wasteful number, since it uses less digits than its factorization.

233979638928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 710 counting only the distinct ones).

The product of its digits is 211631616, while the sum is 69.

The spelling of 233979638928 in words is "two hundred thirty-three billion, nine hundred seventy-nine million, six hundred thirty-eight thousand, nine hundred twenty-eight".