728863336080 has 240 divisors, whose sum is σ = 2714067270720. Its totient is φ = 173797401600.

The previous prime is 728863336057. The next prime is 728863336081. The reversal of 728863336080 is 80633368827.

728863336080 is a `hidden beast` number, since 7 + 28 + 8 + 6 + 3 + 3 + 3 + 608 + 0 = 666.

728863336080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (728863336081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271210 + ... + 1237449.

It is an arithmetic number, because the mean of its divisors is an integer number (11308613628).

Almost surely, 2^728863336080 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 728863336080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357033635360).

728863336080 is an abundant number, since it is smaller than the sum of its proper divisors (1985203934640).

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

728863336080 is a wasteful number, since it uses less digits than its factorization.

728863336080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508750 (or 1508741 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 728863336080 in words is "seven hundred twenty-eight billion, eight hundred sixty-three million, three hundred thirty-six thousand, eighty".