1728488160 has 672 divisors, whose sum is σ = 7337615040. Its totient is φ = 376233984.

The previous prime is 1728488149. The next prime is 1728488183. The reversal of 1728488160 is 618848271.

1728488160 is a `hidden beast` number, since 1 + 7 + 2 + 8 + 488 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 23677884 + ... + 23677956.

It is an arithmetic number, because the mean of its divisors is an integer number (10919070).

Almost surely, 2^1728488160 is an apocalyptic number.

1728488160 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 1728488160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3668807520).

1728488160 is an abundant number, since it is smaller than the sum of its proper divisors (5609126880).

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

1728488160 is an equidigital number, since it uses as much as digits as its factorization.

1728488160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 1728488160 is about 41575.0906192638. The cubic root of 1728488160 is about 1200.1129893608.

The spelling of 1728488160 in words is "one billion, seven hundred twenty-eight million, four hundred eighty-eight thousand, one hundred sixty".