1728190144 has 56 divisors (see below), whose sum is σ = 3653576640. Its totient is φ = 808706304.

The previous prime is 1728190111. The next prime is 1728190147. The reversal of 1728190144 is 4410918271.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1728190147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92367 + ... + 109489.

It is an arithmetic number, because the mean of its divisors is an integer number (65242440).

Almost surely, 2^1728190144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1728190144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826788320).

1728190144 is an abundant number, since it is smaller than the sum of its proper divisors (1925386496).

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

1728190144 is a wasteful number, since it uses less digits than its factorization.

1728190144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17237 (or 17227 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 1728190144 is about 41571.5063956071. The cubic root of 1728190144 is about 1200.0440132005.

The spelling of 1728190144 in words is "one billion, seven hundred twenty-eight million, one hundred ninety thousand, one hundred forty-four".