2728506008761 has 27 divisors (see below), whose sum is σ = 3005207857197. Its totient is φ = 2476142753760.

The previous prime is 2728506008747. The next prime is 2728506008777. The reversal of 2728506008761 is 1678006058272.

The square root of 2728506008761 is 1651819.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1918765188025 + 809740820736 = 1385195^2 + 899856^2 .

It is not a de Polignac number, because 2728506008761 - 2²⁹ = 2727969137849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2728506008699 and 2728506008708.

It is not an unprimeable number, because it can be changed into a prime (2728506000761) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1309891426 + ... + 1309893508.

It is an arithmetic number, because the mean of its divisors is an integer number (111303994711).

Almost surely, 2^{2728506008761} is an apocalyptic number.

2728506008761 is the 1651819-th square number.

2728506008761 is the 825910-th centered octagonal number.

It is an amenable number.

2728506008761 is a deficient number, since it is larger than the sum of its proper divisors (276701848436).

2728506008761 is an frugal number, since it uses more digits than its factorization.

2728506008761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4314 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 52.

The spelling of 2728506008761 in words is "two trillion, seven hundred twenty-eight billion, five hundred six million, eight thousand, seven hundred sixty-one".