82795459728 has 40 divisors (see below), whose sum is σ = 213901711200. Its totient is φ = 27596752384.

The previous prime is 82795459717. The next prime is 82795459741.

82795459728 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 885688 + ... + 974696.

It is an arithmetic number, because the mean of its divisors is an integer number (5347542780).

Almost surely, 2^82795459728 is an apocalyptic number.

It is an amenable number.

82795459728 is an abundant number, since it is smaller than the sum of its proper divisors (131106251472).

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

82795459728 is a wasteful number, since it uses less digits than its factorization.

82795459728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108399 (or 108393 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 66.

The spelling of 82795459728 in words is "eighty-two billion, seven hundred ninety-five million, four hundred fifty-nine thousand, seven hundred twenty-eight".