82128607464 has 32 divisors (see below), whose sum is σ = 208801548000. Its totient is φ = 26912198592.

The previous prime is 82128607439. The next prime is 82128607487. The reversal of 82128607464 is 46470682128.

It is a super-2 number, since 2×82128607464² (a number of 23 digits) contains 22 as substring.

82128607464 is a modest number, since divided by 607464 gives 82128 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28998799 + ... + 29001630.

It is an arithmetic number, because the mean of its divisors is an integer number (6525048375).

Almost surely, 2^82128607464 is an apocalyptic number.

It is an amenable number.

82128607464 is an abundant number, since it is smaller than the sum of its proper divisors (126672940536).

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

82128607464 is a wasteful number, since it uses less digits than its factorization.

82128607464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58000497 (or 58000493 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 82128607464 in words is "eighty-two billion, one hundred twenty-eight million, six hundred seven thousand, four hundred sixty-four".