82728882728 has 8 divisors (see below), whose sum is σ = 155116655130. Its totient is φ = 41364441360.

The previous prime is 82728882721. The next prime is 82728882793.

82728882728 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 52286310244 + 30442572484 = 228662^2 + 174478^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (82728882721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5170555163 + ... + 5170555178.

Almost surely, 2^82728882728 is an apocalyptic number.

It is an amenable number.

82728882728 is a deficient number, since it is larger than the sum of its proper divisors (72387772402).

82728882728 is a wasteful number, since it uses less digits than its factorization.

82728882728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10341110347 (or 10341110343 counting only the distinct ones).

The product of its digits is 25690112, while the sum is 62.

The spelling of 82728882728 in words is "eighty-two billion, seven hundred twenty-eight million, eight hundred eighty-two thousand, seven hundred twenty-eight".