31528618968 has 128 divisors (see below), whose sum is σ = 98362897920. Its totient is φ = 8181596160.

The previous prime is 31528618949. The next prime is 31528619053. The reversal of 31528618968 is 86981682513.

It is a Cunningham number, because it is equal to 177563²-1.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2123346 + ... + 2138142.

It is an arithmetic number, because the mean of its divisors is an integer number (768460140).

Almost surely, 2^31528618968 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 31528618968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49181448960).

31528618968 is an abundant number, since it is smaller than the sum of its proper divisors (66834278952).

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

31528618968 is a wasteful number, since it uses less digits than its factorization.

31528618968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15977 (or 15973 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 57.

The spelling of 31528618968 in words is "thirty-one billion, five hundred twenty-eight million, six hundred eighteen thousand, nine hundred sixty-eight".