63428800 has 84 divisors (see below), whose sum is σ = 161574480. Its totient is φ = 24478720.

The previous prime is 63428797. The next prime is 63428801. The reversal of 63428800 is 882436.

It is a happy number.

63428800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63428801) 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 11 ways as a sum of consecutive naturals, for example, 45717 + ... + 47083.

Almost surely, 2^63428800 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 63428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80787240).

63428800 is an abundant number, since it is smaller than the sum of its proper divisors (98145680).

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

63428800 is a wasteful number, since it uses less digits than its factorization.

63428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 63428800 is about 7964.2199869165. The cubic root of 63428800 is about 398.8064420911.

The spelling of 63428800 in words is "sixty-three million, four hundred twenty-eight thousand, eight hundred".