1728494948271 has 96 divisors (see below), whose sum is σ = 2956070853120. Its totient is φ = 878946412032.

The previous prime is 1728494948263. The next prime is 1728494948287.

It is a happy number.

1728494948271 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1728494948271 - 2³ = 1728494948263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1728494946271) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14252736 + ... + 14373498.

It is an arithmetic number, because the mean of its divisors is an integer number (30792404720).

Almost surely, 2^{1728494948271} is an apocalyptic number.

1728494948271 is a deficient number, since it is larger than the sum of its proper divisors (1227575904849).

1728494948271 is a wasteful number, since it uses less digits than its factorization.

1728494948271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120945 (or 120932 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 66.

The spelling of 1728494948271 in words is "one trillion, seven hundred twenty-eight billion, four hundred ninety-four million, nine hundred forty-eight thousand, two hundred seventy-one".