2728648233757 has 8 divisors (see below), whose sum is σ = 2802420553400. Its totient is φ = 2654877233664.

The previous prime is 2728648233749. The next prime is 2728648233821. The reversal of 2728648233757 is 7573328468272.

It can be written as a sum of positive squares in 4 ways, for example, as 1622436515001 + 1106211718756 = 1273749^2 + 1051766^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2728648233757 - 2³ = 2728648233749 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2728648033757) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5017969 + ... + 5535097.

It is an arithmetic number, because the mean of its divisors is an integer number (350302569175).

Almost surely, 2^{2728648233757} is an apocalyptic number.

It is an amenable number.

2728648233757 is a deficient number, since it is larger than the sum of its proper divisors (73772319643).

2728648233757 is a wasteful number, since it uses less digits than its factorization.

2728648233757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659775.

The product of its digits is 189665280, while the sum is 64.

The spelling of 2728648233757 in words is "two trillion, seven hundred twenty-eight billion, six hundred forty-eight million, two hundred thirty-three thousand, seven hundred fifty-seven".