27728577361 has 9 divisors (see below), whose sum is σ = 28058631643. Its totient is φ = 27402366640.

The previous prime is 27728577341. The next prime is 27728577377. The reversal of 27728577361 is 16377582772.

The square root of 27728577361 is 166519.

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., 5324474961 + 22404102400 = 72969^2 + 149680^2 .

It is not a de Polignac number, because 27728577361 - 2¹⁵ = 27728544593 is a prime.

It is a Duffinian number.

Its product of digits (6914880) is a multiple of the sum of its prime divisors (1960).

It is not an unprimeable number, because it can be changed into a prime (27728577341) 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, 14819256 + ... + 14821126.

Almost surely, 2^27728577361 is an apocalyptic number.

27728577361 is the 166519-th square number.

27728577361 is the 83260-th centered octagonal number.

It is an amenable number.

27728577361 is a deficient number, since it is larger than the sum of its proper divisors (330054282).

27728577361 is an frugal number, since it uses more digits than its factorization.

27728577361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3920 (or 1960 counting only the distinct ones).

The product of its digits is 6914880, while the sum is 55.

The spelling of 27728577361 in words is "twenty-seven billion, seven hundred twenty-eight million, five hundred seventy-seven thousand, three hundred sixty-one".