728606039616 has 336 divisors, whose sum is σ = 2606575765248. Its totient is φ = 189452390400.

The previous prime is 728606039531. The next prime is 728606039621. The reversal of 728606039616 is 616930606827.

728606039616 is a `hidden beast` number, since 7 + 28 + 6 + 0 + 603 + 9 + 6 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×728606039616² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3623646 + ... + 3819426.

It is an arithmetic number, because the mean of its divisors is an integer number (7757665968).

Almost surely, 2^728606039616 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 728606039616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303287882624).

728606039616 is an abundant number, since it is smaller than the sum of its proper divisors (1877969725632).

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

728606039616 is a wasteful number, since it uses less digits than its factorization.

728606039616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195890 (or 195877 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 728606039616 in words is "seven hundred twenty-eight billion, six hundred six million, thirty-nine thousand, six hundred sixteen".