82926844862928 has 160 divisors (see below), whose sum is σ = 234238049710080. Its totient is φ = 25071871265280.

The previous prime is 82926844862887. The next prime is 82926844862933.

82926844862928 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415184301 + ... + 415383987.

It is an arithmetic number, because the mean of its divisors is an integer number (1463987810688).

Almost surely, 2^{82926844862928} is an apocalyptic number.

82926844862928 is a gapful number since it is divisible by the number (88) 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 82926844862928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117119024855040).

82926844862928 is an abundant number, since it is smaller than the sum of its proper divisors (151311204847152).

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

82926844862928 is a wasteful number, since it uses less digits than its factorization.

82926844862928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201505 (or 201499 counting only the distinct ones).

The product of its digits is 3057647616, while the sum is 78.

The spelling of 82926844862928 in words is "eighty-two trillion, nine hundred twenty-six billion, eight hundred forty-four million, eight hundred sixty-two thousand, nine hundred twenty-eight".