728068936320 has 1024 divisors, whose sum is σ = 2925943603200. Its totient is φ = 169504358400.

The previous prime is 728068936267. The next prime is 728068936321. The reversal of 728068936320 is 23639860827.

It is a happy number.

728068936320 is a `hidden beast` number, since 7 + 280 + 6 + 8 + 9 + 36 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (728068936321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 925118967 + ... + 925119753.

It is an arithmetic number, because the mean of its divisors is an integer number (2857366800).

Almost surely, 2^728068936320 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 728068936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462971801600).

728068936320 is an abundant number, since it is smaller than the sum of its proper divisors (2197874666880).

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

728068936320 is a wasteful number, since it uses less digits than its factorization.

728068936320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 728068936320 in words is "seven hundred twenty-eight billion, sixty-eight million, nine hundred thirty-six thousand, three hundred twenty".