63728289 has 15 divisors (see below), whose sum is σ = 95306497. Its totient is φ = 42437628.

The previous prime is 63728243. The next prime is 63728293. The reversal of 63728289 is 98282736.

The square root of 63728289 is 7983.

It is a perfect power (a square), and thus also a powerful number.

63728289 is a `hidden beast` number, since 637 + 2 + 8 + 2 + 8 + 9 = 666.

63728289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 63728289 - 2⁹ = 63727777 is a prime.

It is a super-2 number, since 2×63728289² = 8122589637735042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (63728789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 71404 + ... + 72290.

Almost surely, 2^63728289 is an apocalyptic number.

63728289 is the 7983-rd square number.

63728289 is the 3992-nd centered octagonal number.

It is an amenable number.

63728289 is a deficient number, since it is larger than the sum of its proper divisors (31578208).

63728289 is an frugal number, since it uses more digits than its factorization.

63728289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 890 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The cubic root of 63728289 is about 399.4331324491.

The spelling of 63728289 in words is "sixty-three million, seven hundred twenty-eight thousand, two hundred eighty-nine".