28278456281712 has 1920 divisors, whose sum is σ = 109448194867200. Its totient is φ = 6913299456000.

The previous prime is 28278456281693. The next prime is 28278456281759. The reversal of 28278456281712 is 21718265487282.

28278456281712 is a `hidden beast` number, since 2 + 8 + 2 + 7 + 8 + 456 + 2 + 8 + 171 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 28278456281712.

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 383 ways as a sum of consecutive naturals, for example, 37355952438 + ... + 37355953194.

It is an arithmetic number, because the mean of its divisors is an integer number (57004268160).

Almost surely, 2^{28278456281712} 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 28278456281712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54724097433600).

28278456281712 is an abundant number, since it is smaller than the sum of its proper divisors (81169738585488).

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

28278456281712 is a wasteful number, since it uses less digits than its factorization.

28278456281712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 993 counting only the distinct ones).

The product of its digits is 48168960, while the sum is 63.

The spelling of 28278456281712 in words is "twenty-eight trillion, two hundred seventy-eight billion, four hundred fifty-six million, two hundred eighty-one thousand, seven hundred twelve".