63728288 has 48 divisors (see below), whose sum is σ = 135828000. Its totient is φ = 29258496.

The previous prime is 63728243. The next prime is 63728293. The reversal of 63728288 is 88282736.

It is a Cunningham number, because it is equal to 7983²-1.

It is a super-2 number, since 2×63728288² = 8122589382821888, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127463 + ... + 127961.

It is an arithmetic number, because the mean of its divisors is an integer number (2829750).

Almost surely, 2^63728288 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 63728288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67914000).

63728288 is an abundant number, since it is smaller than the sum of its proper divisors (72099712).

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

63728288 is a wasteful number, since it uses less digits than its factorization.

63728288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 821 counting only the distinct ones).

The product of its digits is 258048, while the sum is 44.

The square root of 63728288 is about 7982.9999373669. Note that the first 4 decimals coincide. The cubic root of 63728288 is about 399.4331303599.

The spelling of 63728288 in words is "sixty-three million, seven hundred twenty-eight thousand, two hundred eighty-eight".