1728304560 has 320 divisors, whose sum is σ = 6273884160. Its totient is φ = 436700160.

The previous prime is 1728304549. The next prime is 1728304639. The reversal of 1728304560 is 654038271.

1728304560 is a `hidden beast` number, since 17 + 2 + 83 + 0 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3548637 + ... + 3549123.

It is an arithmetic number, because the mean of its divisors is an integer number (19605888).

Almost surely, 2^1728304560 is an apocalyptic number.

1728304560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1728304560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136942080).

1728304560 is an abundant number, since it is smaller than the sum of its proper divisors (4545579600).

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

1728304560 is a wasteful number, since it uses less digits than its factorization.

1728304560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1728304560 is about 41572.8825077117. The cubic root of 1728304560 is about 1200.0704958585.

The spelling of 1728304560 in words is "one billion, seven hundred twenty-eight million, three hundred four thousand, five hundred sixty".