63828 has 30 divisors (see below), whose sum is σ = 167706. Its totient is φ = 21168.

The previous prime is 63823. The next prime is 63839. The reversal of 63828 is 82836.

63828 is a `hidden beast` number, since 638 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 63504 + 324 = 252^2 + 18^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 4 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63823) by changing a digit.

63828 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 226 + ... + 422.

2⁶³⁸²⁸ 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 63828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83853).

63828 is an abundant number, since it is smaller than the sum of its proper divisors (103878).

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

63828 is a wasteful number, since it uses less digits than its factorization.

63828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 202 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 63828 is about 252.6420392571. The cubic root of 63828 is about 39.9641345180.

It can be divided in two parts, 638 and 28, that added together give a palindrome (666).

The spelling of 63828 in words is "sixty-three thousand, eight hundred twenty-eight".