63728000 has 128 divisors (see below), whose sum is σ = 181396800. Its totient is φ = 21811200.

The previous prime is 63727999. The next prime is 63728011. The reversal of 63728000 is 82736.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×63728000² = 8122515968000000, 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 15 ways as a sum of consecutive naturals, for example, 111716 + ... + 112284.

Almost surely, 2^63728000 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 63728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90698400).

63728000 is an abundant number, since it is smaller than the sum of its proper divisors (117668800).

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

63728000 is an equidigital number, since it uses as much as digits as its factorization.

63728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 63728000 is about 7982.9818990149. The cubic root of 63728000 is about 399.4325286547.

The spelling of 63728000 in words is "sixty-three million, seven hundred twenty-eight thousand".