1728007864271 has 16 divisors (see below), whose sum is σ = 1868812575840. Its totient is φ = 1588343178240.

The previous prime is 1728007864207. The next prime is 1728007864273. The reversal of 1728007864271 is 1724687008271.

It is not a de Polignac number, because 1728007864271 - 2⁶ = 1728007864207 is a prime.

It is a super-2 number, since 2×1728007864271² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1728007864273) 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, 2638100 + ... + 3227318.

It is an arithmetic number, because the mean of its divisors is an integer number (116800785990).

Almost surely, 2^{1728007864271} is an apocalyptic number.

1728007864271 is a deficient number, since it is larger than the sum of its proper divisors (140804711569).

1728007864271 is a wasteful number, since it uses less digits than its factorization.

1728007864271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590186.

The product of its (nonzero) digits is 2107392, while the sum is 53.

The spelling of 1728007864271 in words is "one trillion, seven hundred twenty-eight billion, seven million, eight hundred sixty-four thousand, two hundred seventy-one".