728345207592 has 48 divisors (see below), whose sum is σ = 1974533832180. Its totient is φ = 242543923200.

The previous prime is 728345207591. The next prime is 728345207609. The reversal of 728345207592 is 295702543827.

728345207592 is a `hidden beast` number, since 7 + 2 + 8 + 3 + 45 + 2 + 0 + 7 + 592 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 706699147716 + 21646059876 = 840654^2 + 147126^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (728345207591) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4880409 + ... + 5027432.

Almost surely, 2^728345207592 is an apocalyptic number.

728345207592 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

728345207592 is an abundant number, since it is smaller than the sum of its proper divisors (1246188624588).

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

728345207592 is a wasteful number, since it uses less digits than its factorization.

728345207592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9908874 (or 9908867 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 728345207592 in words is "seven hundred twenty-eight billion, three hundred forty-five million, two hundred seven thousand, five hundred ninety-two".