31085749728 has 504 divisors, whose sum is σ = 105098114520. Its totient is φ = 8971015680.

The previous prime is 31085749727. The next prime is 31085749753. The reversal of 31085749728 is 82794758013.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31085749727) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 135745518 + ... + 135745746.

It is an arithmetic number, because the mean of its divisors is an integer number (208528005).

Almost surely, 2^31085749728 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 31085749728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52549057260).

31085749728 is an abundant number, since it is smaller than the sum of its proper divisors (74012364792).

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

31085749728 is a wasteful number, since it uses less digits than its factorization.

31085749728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 31085749728 in words is "thirty-one billion, eighty-five million, seven hundred forty-nine thousand, seven hundred twenty-eight".