63828768 has 96 divisors (see below), whose sum is σ = 175815360. Its totient is φ = 20249600.

The previous prime is 63828701. The next prime is 63828799. The reversal of 63828768 is 86782836.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×63828768² = 8148223248795648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281071 + ... + 281297.

It is an arithmetic number, because the mean of its divisors is an integer number (1831410).

Almost surely, 2^63828768 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 63828768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87907680).

63828768 is an abundant number, since it is smaller than the sum of its proper divisors (111986592).

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

63828768 is a wasteful number, since it uses less digits than its factorization.

63828768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 362 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 63828768 is about 7989.2908321077. The cubic root of 63828768 is about 399.6429480463.

The spelling of 63828768 in words is "sixty-three million, eight hundred twenty-eight thousand, seven hundred sixty-eight".