28147068174336 has 256 divisors, whose sum is σ = 79783312471920. Its totient is φ = 8796093022208.

The previous prime is 28147068174311. The next prime is 28147068174347. The reversal of 28147068174336 is 63347186074182.

It is a tau number, because it is divible by the number of its divisors (256).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 28147068174336.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 28147068174336 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109521665920 + ... + 109521666176.

Almost surely, 2^{28147068174336} 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 28147068174336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39891656235960).

28147068174336 is an abundant number, since it is smaller than the sum of its proper divisors (51636244297584).

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

28147068174336 is an frugal number, since it uses more digits than its factorization.

28147068174336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 60.

The spelling of 28147068174336 in words is "twenty-eight trillion, one hundred forty-seven billion, sixty-eight million, one hundred seventy-four thousand, three hundred thirty-six".