31768371828 has 192 divisors, whose sum is σ = 87700838400. Its totient is φ = 9927152640.

The previous prime is 31768371827. The next prime is 31768371829. The reversal of 31768371828 is 82817386713.

It is an interprime number because it is at equal distance from previous prime (31768371827) and next prime (31768371829).

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 (31768371821) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39268288 + ... + 39269096.

It is an arithmetic number, because the mean of its divisors is an integer number (456775200).

Almost surely, 2^31768371828 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 31768371828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43850419200).

31768371828 is an abundant number, since it is smaller than the sum of its proper divisors (55932466572).

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

31768371828 is a wasteful number, since it uses less digits than its factorization.

31768371828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1199 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 31768371828 in words is "thirty-one billion, seven hundred sixty-eight million, three hundred seventy-one thousand, eight hundred twenty-eight".