728757568 has 56 divisors (see below), whose sum is σ = 1802977344. Its totient is φ = 283929600.

The previous prime is 728757563. The next prime is 728757577. The reversal of 728757568 is 865757827.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728757563) 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 7 ways as a sum of consecutive naturals, for example, 69013 + ... + 78868.

It is an arithmetic number, because the mean of its divisors is an integer number (32196024).

Almost surely, 2^728757568 is an apocalyptic number.

It is an amenable number.

728757568 is an abundant number, since it is smaller than the sum of its proper divisors (1074219776).

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

728757568 is a wasteful number, since it uses less digits than its factorization.

728757568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147911 (or 147901 counting only the distinct ones).

The product of its digits is 6585600, while the sum is 55.

The square root of 728757568 is about 26995.5101452075. The cubic root of 728757568 is about 899.9002226836.

It can be divided in two parts, 728 and 757568, that added together give a triangular number (758296 = T₁₂₃₁).

The spelling of 728757568 in words is "seven hundred twenty-eight million, seven hundred fifty-seven thousand, five hundred sixty-eight".