16801531728 has 80 divisors (see below), whose sum is σ = 44511008256. Its totient is φ = 5458239360.

The previous prime is 16801531709. The next prime is 16801531729. The reversal of 16801531728 is 82713510861.

16801531728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 16801531728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16801531729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 955173 + ... + 972603.

Almost surely, 2^16801531728 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 16801531728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22255504128).

16801531728 is an abundant number, since it is smaller than the sum of its proper divisors (27709476528).

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

16801531728 is a wasteful number, since it uses less digits than its factorization.

16801531728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17952 (or 17946 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 16801531728 in words is "sixteen billion, eight hundred one million, five hundred thirty-one thousand, seven hundred twenty-eight".