1728727560 has 96 divisors (see below), whose sum is σ = 6420997440. Its totient is φ = 395137152.

The previous prime is 1728727549. The next prime is 1728727573. The reversal of 1728727560 is 657278271.

1728727560 is a `hidden beast` number, since 1 + 7 + 2 + 87 + 2 + 7 + 560 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 340482 + ... + 345521.

It is an arithmetic number, because the mean of its divisors is an integer number (66885390).

Almost surely, 2^1728727560 is an apocalyptic number.

1728727560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1728727560 is an abundant number, since it is smaller than the sum of its proper divisors (4692269880).

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

1728727560 is a wasteful number, since it uses less digits than its factorization.

1728727560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686027 (or 686020 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 1728727560 is about 41577.9696473986. The cubic root of 1728727560 is about 1200.1683930354.

Subtracting from 1728727560 its reverse (657278271), we obtain a square (1071449289 = 32733²).

The spelling of 1728727560 in words is "one billion, seven hundred twenty-eight million, seven hundred twenty-seven thousand, five hundred sixty".