82800028260028 has 96 divisors (see below), whose sum is σ = 155402714880000. Its totient is φ = 38483986464000.

The previous prime is 82800028260013. The next prime is 82800028260041. The reversal of 82800028260028 is 82006282000828.

It is a super-4 number, since 4×82800028260028⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 82800028260028.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7884960778 + ... + 7884971278.

It is an arithmetic number, because the mean of its divisors is an integer number (1618778280000).

Almost surely, 2^{82800028260028} is an apocalyptic number.

It is an amenable number.

82800028260028 is a deficient number, since it is larger than the sum of its proper divisors (72602686619972).

82800028260028 is a wasteful number, since it uses less digits than its factorization.

82800028260028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13715 (or 13713 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 46.

The spelling of 82800028260028 in words is "eighty-two trillion, eight hundred billion, twenty-eight million, two hundred sixty thousand, twenty-eight".