1728727616 has 224 divisors, whose sum is σ = 4632960000. Its totient is φ = 619591680.

The previous prime is 1728727601. The next prime is 1728727619. The reversal of 1728727616 is 6167278271.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (1728727619) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3464135 + ... + 3464633.

Almost surely, 2^1728727616 is an apocalyptic number.

1728727616 is a gapful number since it is divisible by the number (16) 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 1728727616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316480000).

1728727616 is an abundant number, since it is smaller than the sum of its proper divisors (2904232384).

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

1728727616 is a wasteful number, since it uses less digits than its factorization.

1728727616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 575 counting only the distinct ones).

The product of its digits is 395136, while the sum is 47.

The square root of 1728727616 is about 41577.9703208322. The cubic root of 1728727616 is about 1200.1684059947.

The spelling of 1728727616 in words is "one billion, seven hundred twenty-eight million, seven hundred twenty-seven thousand, six hundred sixteen".