63828336 has 160 divisors (see below), whose sum is σ = 205486848. Its totient is φ = 16773120.

The previous prime is 63828299. The next prime is 63828337. The reversal of 63828336 is 63382836.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 63828294 and 63828303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63828337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116415 + ... + 116961.

Almost surely, 2^63828336 is an apocalyptic number.

63828336 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63828336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102743424).

63828336 is an abundant number, since it is smaller than the sum of its proper divisors (141658512).

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

63828336 is a wasteful number, since it uses less digits than its factorization.

63828336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 593 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 63828336 is about 7989.2637958701. The cubic root of 63828336 is about 399.6420464353.

The spelling of 63828336 in words is "sixty-three million, eight hundred twenty-eight thousand, three hundred thirty-six".