728931018816 has 2016 divisors, whose sum is σ = 3116462469120. Its totient is φ = 157769441280.

The previous prime is 728931018779. The next prime is 728931018841. The reversal of 728931018816 is 618810139827.

728931018816 is a `hidden beast` number, since 72 + 89 + 310 + 188 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2771600701 + ... + 2771600963.

It is an arithmetic number, because the mean of its divisors is an integer number (1545864320).

Almost surely, 2^728931018816 is an apocalyptic number.

728931018816 is a gapful number since it is divisible by the number (76) 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 728931018816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558231234560).

728931018816 is an abundant number, since it is smaller than the sum of its proper divisors (2387531450304).

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

728931018816 is a wasteful number, since it uses less digits than its factorization.

728931018816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 728931018816 in words is "seven hundred twenty-eight billion, nine hundred thirty-one million, eighteen thousand, eight hundred sixteen".