728563340232 has 256 divisors, whose sum is σ = 2491766323200. Its totient is φ = 192075183360.

The previous prime is 728563340231. The next prime is 728563340237. The reversal of 728563340232 is 232043365827.

728563340232 is a `hidden beast` number, since 7 + 2 + 8 + 5 + 633 + 4 + 0 + 2 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (728563340231) 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 63 ways as a sum of consecutive naturals, for example, 68142007 + ... + 68152697.

It is an arithmetic number, because the mean of its divisors is an integer number (9733462200).

Almost surely, 2^728563340232 is an apocalyptic number.

728563340232 is a gapful number since it is divisible by the number (72) 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 728563340232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245883161600).

728563340232 is an abundant number, since it is smaller than the sum of its proper divisors (1763202982968).

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

728563340232 is a wasteful number, since it uses less digits than its factorization.

728563340232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14193 (or 14183 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 728563340232 in words is "seven hundred twenty-eight billion, five hundred sixty-three million, three hundred forty thousand, two hundred thirty-two".