2728077361 has 9 divisors (see below), whose sum is σ = 2880265131. Its totient is φ = 2583554184.

The previous prime is 2728077347. The next prime is 2728077409. The reversal of 2728077361 is 1637708272.

The square root of 2728077361 is 52231.

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., 325116961 + 2402960400 = 18031^2 + 49020^2 .

It is not a de Polignac number, because 2728077361 - 2¹¹ = 2728075313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2728077161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 991015 + ... + 993763.

It is an arithmetic number, because the mean of its divisors is an integer number (320029459).

Almost surely, 2^2728077361 is an apocalyptic number.

2728077361 is the 52231-st square number.

2728077361 is the 26116-th centered octagonal number.

It is an amenable number.

2728077361 is a deficient number, since it is larger than the sum of its proper divisors (152187770).

2728077361 is an frugal number, since it uses more digits than its factorization.

2728077361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5536 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 43.

The cubic root of 2728077361 is about 1397.2868134646.

The spelling of 2728077361 in words is "two billion, seven hundred twenty-eight million, seventy-seven thousand, three hundred sixty-one".