728333260704 has 576 divisors, whose sum is σ = 2501335468800. Its totient is φ = 205571229696.

The previous prime is 728333260693. The next prime is 728333260757. The reversal of 728333260704 is 407062333827.

728333260704 is a `hidden beast` number, since 7 + 2 + 8 + 3 + 3 + 32 + 607 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 728333260704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2028783277 + ... + 2028783635.

It is an arithmetic number, because the mean of its divisors is an integer number (4342596300).

Almost surely, 2^728333260704 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 728333260704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250667734400).

728333260704 is an abundant number, since it is smaller than the sum of its proper divisors (1773002208096).

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

728333260704 is a wasteful number, since it uses less digits than its factorization.

728333260704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 728333260704 in words is "seven hundred twenty-eight billion, three hundred thirty-three million, two hundred sixty thousand, seven hundred four".