2728401348337 has 32 divisors (see below), whose sum is σ = 3336929616384. Its totient is φ = 2177548876800.

The previous prime is 2728401348331. The next prime is 2728401348347. The reversal of 2728401348337 is 7338431048272.

2728401348337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2728401348337 - 2³ = 2728401348329 is a prime.

It is a super-2 number, since 2×2728401348337² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2728401348331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12405387 + ... + 12623407.

It is an arithmetic number, because the mean of its divisors is an integer number (104279050512).

Almost surely, 2^{2728401348337} is an apocalyptic number.

It is an amenable number.

2728401348337 is a deficient number, since it is larger than the sum of its proper divisors (608528268047).

2728401348337 is a wasteful number, since it uses less digits than its factorization.

2728401348337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219169.

The product of its (nonzero) digits is 5419008, while the sum is 52.

The spelling of 2728401348337 in words is "two trillion, seven hundred twenty-eight billion, four hundred one million, three hundred forty-eight thousand, three hundred thirty-seven".