728790304968 has 384 divisors, whose sum is σ = 2303795520000. Its totient is φ = 205811020800.

The previous prime is 728790304967. The next prime is 728790304999. The reversal of 728790304968 is 869403097827.

728790304968 is a `hidden beast` number, since 7 + 28 + 7 + 90 + 30 + 496 + 8 = 666.

It is a super-2 number, since 2×728790304968² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (728790304967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 282585103 + ... + 282587681.

It is an arithmetic number, because the mean of its divisors is an integer number (5999467500).

Almost surely, 2^728790304968 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 728790304968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151897760000).

728790304968 is an abundant number, since it is smaller than the sum of its proper divisors (1575005215032).

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

728790304968 is a wasteful number, since it uses less digits than its factorization.

728790304968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2921 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 728790304968 in words is "seven hundred twenty-eight billion, seven hundred ninety million, three hundred four thousand, nine hundred sixty-eight".