28165388262912 has 960 divisors, whose sum is σ = 88950674292480. Its totient is φ = 8885141766144.

The previous prime is 28165388262887. The next prime is 28165388262923. The reversal of 28165388262912 is 21926288356182.

It is a happy number.

28165388262912 is a `hidden beast` number, since 2 + 8 + 1 + 6 + 538 + 8 + 2 + 6 + 2 + 91 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 28165388262912.

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 95 ways as a sum of consecutive naturals, for example, 48813497568 + ... + 48813498144.

It is an arithmetic number, because the mean of its divisors is an integer number (92656952388).

Almost surely, 2^{28165388262912} 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 28165388262912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44475337146240).

28165388262912 is an abundant number, since it is smaller than the sum of its proper divisors (60785286029568).

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

28165388262912 is an equidigital number, since it uses as much as digits as its factorization.

28165388262912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 857 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The spelling of 28165388262912 in words is "twenty-eight trillion, one hundred sixty-five billion, three hundred eighty-eight million, two hundred sixty-two thousand, nine hundred twelve".