1728090090846 has 160 divisors (see below), whose sum is σ = 4452358553280. Its totient is φ = 490734526464.

The previous prime is 1728090090751. The next prime is 1728090090851. The reversal of 1728090090846 is 6480900908271.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1728090090792 and 1728090090801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 257574540 + ... + 257581248.

It is an arithmetic number, because the mean of its divisors is an integer number (27827240958).

Almost surely, 2^{1728090090846} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1728090090846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226179276640).

1728090090846 is an abundant number, since it is smaller than the sum of its proper divisors (2724268462434).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1728090090846 is a wasteful number, since it uses less digits than its factorization.

1728090090846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8080 (or 8071 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 1728090090846 in words is "one trillion, seven hundred twenty-eight billion, ninety million, ninety thousand, eight hundred forty-six".