27828874494864 has 135 divisors (see below), whose sum is σ = 79235242302619. Its totient is φ = 9117842347200.

The previous prime is 27828874494859. The next prime is 27828874494907. The reversal of 27828874494864 is 46849447882872.

The square root of 27828874494864 is 5275308.

It is a perfect power (a square), and thus also a powerful number.

27828874494864 is a `hidden beast` number, since 2 + 7 + 8 + 28 + 8 + 74 + 49 + 486 + 4 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3734914339 + ... + 3734921789.

Almost surely, 2^{27828874494864} is an apocalyptic number.

27828874494864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

27828874494864 is the 5275308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27828874494864

27828874494864 is an abundant number, since it is smaller than the sum of its proper divisors (51406367807755).

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

27828874494864 is an frugal number, since it uses more digits than its factorization.

27828874494864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15034 (or 7515 counting only the distinct ones).

The product of its digits is 11098128384, while the sum is 81.

The spelling of 27828874494864 in words is "twenty-seven trillion, eight hundred twenty-eight billion, eight hundred seventy-four million, four hundred ninety-four thousand, eight hundred sixty-four".