31068188928 has 270 divisors, whose sum is σ = 107768094126. Its totient is φ = 8876335104.

The previous prime is 31068188923. The next prime is 31068188951. The reversal of 31068188928 is 82988186013.

31068188928 is a `hidden beast` number, since 310 + 68 + 188 + 92 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24726933504 + 6341255424 = 157248^2 + 79632^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (31068188923) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1000776 + ... + 1031352.

Almost surely, 2^31068188928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31068188928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53884047063).

31068188928 is an abundant number, since it is smaller than the sum of its proper divisors (76699905198).

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

31068188928 is an equidigital number, since it uses as much as digits as its factorization.

31068188928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30619 (or 30589 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 31068188928 in words is "thirty-one billion, sixty-eight million, one hundred eighty-eight thousand, nine hundred twenty-eight".