1728890045729 has 48 divisors (see below), whose sum is σ = 2292474700800. Its totient is φ = 1286872503840.

The previous prime is 1728890045713. The next prime is 1728890045731. The reversal of 1728890045729 is 9275400988271.

It is not a de Polignac number, because 1728890045729 - 2⁴ = 1728890045713 is a prime.

It is a super-2 number, since 2×1728890045729² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1728890045749) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9117122 + ... + 9304820.

It is an arithmetic number, because the mean of its divisors is an integer number (47759889600).

Almost surely, 2^{1728890045729} is an apocalyptic number.

It is an amenable number.

1728890045729 is a deficient number, since it is larger than the sum of its proper divisors (563584655071).

1728890045729 is a wasteful number, since it uses less digits than its factorization.

1728890045729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188490 (or 188483 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 62.

The spelling of 1728890045729 in words is "one trillion, seven hundred twenty-eight billion, eight hundred ninety million, forty-five thousand, seven hundred twenty-nine".