728536064 has 44 divisors (see below), whose sum is σ = 1467748128. Its totient is φ = 361420800.

The previous prime is 728536033. The next prime is 728536073. The reversal of 728536064 is 460635827.

It is a happy number.

It is a super-2 number, since 2×728536064² = 1061529593097224192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 131429 + ... + 136859.

It is an arithmetic number, because the mean of its divisors is an integer number (33357912).

Almost surely, 2^728536064 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 728536064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733874064).

728536064 is an abundant number, since it is smaller than the sum of its proper divisors (739212064).

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

728536064 is a wasteful number, since it uses less digits than its factorization.

728536064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5582 (or 5564 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The square root of 728536064 is about 26991.4072252634. The cubic root of 728536064 is about 899.8090393205.

The spelling of 728536064 in words is "seven hundred twenty-eight million, five hundred thirty-six thousand, sixty-four".