82456865428 has 72 divisors (see below), whose sum is σ = 170605364832. Its totient is φ = 34761900096.

The previous prime is 82456865411. The next prime is 82456865441.

82456865428 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×82456865428² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10146975 + ... + 10155097.

It is an arithmetic number, because the mean of its divisors is an integer number (2369518956).

Almost surely, 2^82456865428 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 82456865428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85302682416).

82456865428 is an abundant number, since it is smaller than the sum of its proper divisors (88148499404).

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

82456865428 is a wasteful number, since it uses less digits than its factorization.

82456865428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8981 (or 8972 counting only the distinct ones).

The product of its digits is 29491200, while the sum is 58.

The spelling of 82456865428 in words is "eighty-two billion, four hundred fifty-six million, eight hundred sixty-five thousand, four hundred twenty-eight".