1728109656 has 288 divisors, whose sum is σ = 6012770400. Its totient is φ = 444165120.

The previous prime is 1728109613. The next prime is 1728109657. The reversal of 1728109656 is 6569018271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1728109657) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1879965 + ... + 1880883.

It is an arithmetic number, because the mean of its divisors is an integer number (20877675).

Almost surely, 2^1728109656 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 1728109656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006385200).

1728109656 is an abundant number, since it is smaller than the sum of its proper divisors (4284660744).

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

1728109656 is a wasteful number, since it uses less digits than its factorization.

1728109656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1728109656 is about 41570.5383174190. The cubic root of 1728109656 is about 1200.0253827964.

The spelling of 1728109656 in words is "one billion, seven hundred twenty-eight million, one hundred nine thousand, six hundred fifty-six".