728209794816 has 324 divisors, whose sum is σ = 2473348332000. Its totient is φ = 205423755264.

The previous prime is 728209794751. The next prime is 728209794841. The reversal of 728209794816 is 618497902827.

728209794816 is a `hidden beast` number, since 7 + 2 + 82 + 0 + 9 + 79 + 481 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8877960 + ... + 8959608.

Almost surely, 2^728209794816 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 728209794816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236674166000).

728209794816 is an abundant number, since it is smaller than the sum of its proper divisors (1745138537184).

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

728209794816 is a wasteful number, since it uses less digits than its factorization.

728209794816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81764 (or 81740 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 728209794816 in words is "seven hundred twenty-eight billion, two hundred nine million, seven hundred ninety-four thousand, eight hundred sixteen".