728243568 has 320 divisors, whose sum is σ = 2399846400. Its totient is φ = 209848320.

The previous prime is 728243543. The next prime is 728243623. The reversal of 728243568 is 865342827.

728243568 is a `hidden beast` number, since 7 + 2 + 82 + 4 + 3 + 568 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8182468 + ... + 8182556.

It is an arithmetic number, because the mean of its divisors is an integer number (7499520).

Almost surely, 2^728243568 is an apocalyptic number.

728243568 is a gapful number since it is divisible by the number (78) 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 728243568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199923200).

728243568 is an abundant number, since it is smaller than the sum of its proper divisors (1671602832).

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

728243568 is a wasteful number, since it uses less digits than its factorization.

728243568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 185 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 728243568 is about 26985.9883643346. The cubic root of 728243568 is about 899.6886033815.

The spelling of 728243568 in words is "seven hundred twenty-eight million, two hundred forty-three thousand, five hundred sixty-eight".