63728 has 20 divisors (see below), whose sum is σ = 141360. Its totient is φ = 27264.

The previous prime is 63727. The next prime is 63737. The reversal of 63728 is 82736.

It is a super-2 number, since 2×63728² = 8122515968, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 63697 and 63706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63727) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 173 + ... + 396.

It is an arithmetic number, because the mean of its divisors is an integer number (7068).

2⁶³⁷²⁸ is an apocalyptic number.

It is an amenable number.

63728 is an abundant number, since it is smaller than the sum of its proper divisors (77632).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70680).

63728 is a wasteful number, since it uses less digits than its factorization.

63728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 578 counting only the distinct ones).

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

The square root of 63728 is about 252.4440532078. Note that the first 3 decimals coincide. The cubic root of 63728 is about 39.9432528655.

The spelling of 63728 in words is "sixty-three thousand, seven hundred twenty-eight".