1728607144 has 64 divisors (see below), whose sum is σ = 3641889600. Its totient is φ = 762278400.

The previous prime is 1728607103. The next prime is 1728607189. The reversal of 1728607144 is 4417068271.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1728607097 and 1728607106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1695867 + ... + 1696885.

It is an arithmetic number, because the mean of its divisors is an integer number (56904525).

Almost surely, 2^1728607144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1728607144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820944800).

1728607144 is an abundant number, since it is smaller than the sum of its proper divisors (1913282456).

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

1728607144 is a wasteful number, since it uses less digits than its factorization.

1728607144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 1728607144 is about 41576.5215476235. The cubic root of 1728607144 is about 1200.1405261356.

The spelling of 1728607144 in words is "one billion, seven hundred twenty-eight million, six hundred seven thousand, one hundred forty-four".