1728809984 has 88 divisors (see below), whose sum is σ = 3892509696. Its totient is φ = 760320000.

The previous prime is 1728809963. The next prime is 1728810001. The reversal of 1728809984 is 4899088271.

It is a tau number, because it is divible by the number of its divisors (88).

It is an unprimeable number.

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, 346709 + ... + 351659.

Almost surely, 2^1728809984 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 1728809984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946254848).

1728809984 is an abundant number, since it is smaller than the sum of its proper divisors (2163699712).

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

1728809984 is a wasteful number, since it uses less digits than its factorization.

1728809984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5013 (or 4995 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 56.

The square root of 1728809984 is about 41578.9608335754. The cubic root of 1728809984 is about 1200.1874670082.

The spelling of 1728809984 in words is "one billion, seven hundred twenty-eight million, eight hundred nine thousand, nine hundred eighty-four".