1728368431785 has 48 divisors (see below), whose sum is σ = 3036773625600. Its totient is φ = 909224289792.

The previous prime is 1728368431759. The next prime is 1728368431813. The reversal of 1728368431785 is 5871348638271.

It is a happy number.

1728368431785 is a `hidden beast` number, since 1 + 72 + 8 + 3 + 68 + 431 + 78 + 5 = 666.

It is not a de Polignac number, because 1728368431785 - 2⁶ = 1728368431721 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3346074 + ... + 3827916.

It is an arithmetic number, because the mean of its divisors is an integer number (63266117200).

Almost surely, 2^{1728368431785} is an apocalyptic number.

1728368431785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1728368431785 is a deficient number, since it is larger than the sum of its proper divisors (1308405193815).

1728368431785 is a wasteful number, since it uses less digits than its factorization.

1728368431785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482942 (or 482939 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 63.

The spelling of 1728368431785 in words is "one trillion, seven hundred twenty-eight billion, three hundred sixty-eight million, four hundred thirty-one thousand, seven hundred eighty-five".