2728131122637 has 16 divisors (see below), whose sum is σ = 4041715666560. Its totient is φ = 1818736113600.

The previous prime is 2728131122599. The next prime is 2728131122677. The reversal of 2728131122637 is 7362211318272.

2728131122637 is a `hidden beast` number, since 2 + 7 + 2 + 8 + 1 + 3 + 1 + 1 + 2 + 2 + 637 = 666.

It is not a de Polignac number, because 2728131122637 - 2⁶ = 2728131122573 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2728131122592 and 2728131122601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2728131122677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2644437 + ... + 3528357.

It is an arithmetic number, because the mean of its divisors is an integer number (252607229160).

Almost surely, 2^{2728131122637} is an apocalyptic number.

2728131122637 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2728131122637 is a deficient number, since it is larger than the sum of its proper divisors (1313584543923).

2728131122637 is a wasteful number, since it uses less digits than its factorization.

2728131122637 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998241 (or 998235 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The spelling of 2728131122637 in words is "two trillion, seven hundred twenty-eight billion, one hundred thirty-one million, one hundred twenty-two thousand, six hundred thirty-seven".