28261447736832 has 480 divisors, whose sum is σ = 89723795166720. Its totient is φ = 8531593297920.

The previous prime is 28261447736801. The next prime is 28261447736843. The reversal of 28261447736832 is 23863774416282.

28261447736832 is a `hidden beast` number, since 2 + 8 + 2 + 61 + 447 + 73 + 68 + 3 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 28261447736832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176862732 + ... + 177022452.

It is an arithmetic number, because the mean of its divisors is an integer number (186924573264).

Almost surely, 2^{28261447736832} 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 28261447736832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44861897583360).

28261447736832 is an abundant number, since it is smaller than the sum of its proper divisors (61462347429888).

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

28261447736832 is a wasteful number, since it uses less digits than its factorization.

28261447736832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159854 (or 159835 counting only the distinct ones).

The product of its digits is 130056192, while the sum is 63.

The spelling of 28261447736832 in words is "twenty-eight trillion, two hundred sixty-one billion, four hundred forty-seven million, seven hundred thirty-six thousand, eight hundred thirty-two".