1728560808400 has 60 divisors (see below), whose sum is σ = 4153379431212. Its totient is φ = 691339064320.

The previous prime is 1728560808353. The next prime is 1728560808431. The reversal of 1728560808400 is 48080658271.

It can be written as a sum of positive squares in 6 ways, for example, as 30668415376 + 1697892393024 = 175124^2 + 1303032^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3032484 + ... + 3557116.

Almost surely, 2^{1728560808400} is an apocalyptic number.

1728560808400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1728560808400 is an abundant number, since it is smaller than the sum of its proper divisors (2424818622812).

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

1728560808400 is a wasteful number, since it uses less digits than its factorization.

1728560808400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532888 (or 532877 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 49.

The spelling of 1728560808400 in words is "one trillion, seven hundred twenty-eight billion, five hundred sixty million, eight hundred eight thousand, four hundred".