27687628816 has 45 divisors (see below), whose sum is σ = 57009275869. Its totient is φ = 13024147712.

The previous prime is 27687628811. The next prime is 27687628819. The reversal of 27687628816 is 61882678672.

The square root of 27687628816 is 166396.

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

It can be written as a sum of positive squares in only one way, i.e., 21556112400 + 6131516416 = 146820^2 + 78304^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27687628811) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11313705 + ... + 11316151.

Almost surely, 2^27687628816 is an apocalyptic number.

27687628816 is the 166396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27687628816

27687628816 is an abundant number, since it is smaller than the sum of its proper divisors (29321647053).

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

27687628816 is an frugal number, since it uses more digits than its factorization.

27687628816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4936 (or 2466 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 61.

The spelling of 27687628816 in words is "twenty-seven billion, six hundred eighty-seven million, six hundred twenty-eight thousand, eight hundred sixteen".