2728340829361 has 9 divisors (see below), whose sum is σ = 3173797680249. Its totient is φ = 2338567943124.

The previous prime is 2728340829343. The next prime is 2728340829367. The reversal of 2728340829361 is 1639280438272.

The square root of 2728340829361 is 1651769.

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

It is not a de Polignac number, because 2728340829361 - 2⁵ = 2728340829329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2728340829367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11444400 + ... + 11680366.

Almost surely, 2^{2728340829361} is an apocalyptic number.

2728340829361 is the 1651769-th square number.

2728340829361 is the 825885-th centered octagonal number.

It is an amenable number.

2728340829361 is a deficient number, since it is larger than the sum of its proper divisors (445456850888).

2728340829361 is an frugal number, since it uses more digits than its factorization.

2728340829361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471948 (or 235974 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 55.

The spelling of 2728340829361 in words is "two trillion, seven hundred twenty-eight billion, three hundred forty million, eight hundred twenty-nine thousand, three hundred sixty-one".