1728394560 has 168 divisors, whose sum is σ = 5981044680. Its totient is φ = 458108928.

The previous prime is 1728394559. The next prime is 1728394561. The reversal of 1728394560 is 654938271.

1728394560 is a `hidden beast` number, since 1 + 7 + 2 + 83 + 9 + 4 + 560 = 666.

1728394560 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1728394559) and next prime (1728394561).

It can be written as a sum of positive squares in 4 ways, for example, as 108493056 + 1619901504 = 10416^2 + 40248^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

1728394560 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1728394561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 496506 + ... + 499974.

It is a 2-persistent number, because it is pandigital, and so is 2⋅1728394560 = 3456789120, but 3⋅1728394560 = 5185183680 is not.

Almost surely, 2^1728394560 is an apocalyptic number.

1728394560 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 1728394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2990522340).

1728394560 is an abundant number, since it is smaller than the sum of its proper divisors (4252650120).

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

1728394560 is a wasteful number, since it uses less digits than its factorization.

1728394560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3665 (or 3652 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1728394560 is about 41573.9649299895. The cubic root of 1728394560 is about 1200.0913263827.

The spelling of 1728394560 in words is "one billion, seven hundred twenty-eight million, three hundred ninety-four thousand, five hundred sixty".