728866768000 has 320 divisors, whose sum is σ = 2114154801720. Its totient is φ = 249884006400.

The previous prime is 728866767977. The next prime is 728866768033. The reversal of 728866768000 is 867668827.

It can be written as a sum of positive squares in 4 ways, for example, as 166522757184 + 562344010816 = 408072^2 + 749896^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38406514 + ... + 38425486.

Almost surely, 2^728866768000 is an apocalyptic number.

728866768000 is a gapful number since it is divisible by the number (70) 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 728866768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057077400860).

728866768000 is an abundant number, since it is smaller than the sum of its proper divisors (1385288033720).

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

728866768000 is an frugal number, since it uses more digits than its factorization.

728866768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19030 (or 18987 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 58.

The spelling of 728866768000 in words is "seven hundred twenty-eight billion, eight hundred sixty-six million, seven hundred sixty-eight thousand".