728064000 has 336 divisors, whose sum is σ = 2657977920. Its totient is φ = 191692800.

The previous prime is 728063989. The next prime is 728064013. The reversal of 728064000 is 460827.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9215961 + ... + 9216039.

Almost surely, 2^728064000 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 728064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328988960).

728064000 is an abundant number, since it is smaller than the sum of its proper divisors (1929913920).

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

728064000 is an equidigital number, since it uses as much as digits as its factorization.

728064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 89 counting only the distinct ones).

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

The square root of 728064000 is about 26982.6610993060. The cubic root of 728064000 is about 899.6146498442.

The spelling of 728064000 in words is "seven hundred twenty-eight million, sixty-four thousand".