82456913728 has 56 divisors (see below), whose sum is σ = 187319668032. Its totient is φ = 35278362624.

The previous prime is 82456913701. The next prime is 82456913729. The reversal of 82456913728 is 82731965428.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82456913729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106200 + ... + 419752.

It is an arithmetic number, because the mean of its divisors is an integer number (3344994072).

Almost surely, 2^82456913728 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 82456913728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93659834016).

82456913728 is an abundant number, since it is smaller than the sum of its proper divisors (104862754304).

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

82456913728 is a wasteful number, since it uses less digits than its factorization.

82456913728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314159 (or 314149 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 55.

The spelling of 82456913728 in words is "eighty-two billion, four hundred fifty-six million, nine hundred thirteen thousand, seven hundred twenty-eight".