728312064 has 72 divisors (see below), whose sum is σ = 1945315680. Its totient is φ = 241901568.

The previous prime is 728312063. The next prime is 728312077. The reversal of 728312064 is 460213827.

It is not an unprimeable number, because it can be changed into a prime (728312063) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 234232 + ... + 237320.

Almost surely, 2^728312064 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 728312064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972657840).

728312064 is an abundant number, since it is smaller than the sum of its proper divisors (1217003616).

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

728312064 is a wasteful number, since it uses less digits than its factorization.

728312064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3415 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 728312064 is about 26987.2574375389. The cubic root of 728312064 is about 899.7168096673.

The spelling of 728312064 in words is "seven hundred twenty-eight million, three hundred twelve thousand, sixty-four".