728064 has 66 divisors (see below), whose sum is σ = 2128880. Its totient is φ = 239616.

The previous prime is 728047. The next prime is 728069. The reversal of 728064 is 460827.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728069) by changing a digit.

728064 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9177 + ... + 9255.

2⁷²⁸⁰⁶⁴ 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 728064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064440).

728064 is an abundant number, since it is smaller than the sum of its proper divisors (1400816).

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

728064 is a wasteful number, since it uses less digits than its factorization.

728064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 728064 is about 853.2666640623. The cubic root of 728064 is about 89.9614649844.

The spelling of 728064 in words is "seven hundred twenty-eight thousand, sixty-four".