13824828 has 72 divisors (see below), whose sum is σ = 36599472. Its totient is φ = 4396032.

The previous prime is 13824809. The next prime is 13824841. The reversal of 13824828 is 82842831.

It is a happy number.

It is a super-2 number, since 2×13824828² = 382251738459168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13824792 and 13824801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129151 + ... + 129257.

It is an arithmetic number, because the mean of its divisors is an integer number (508326).

Almost surely, 2^13824828 is an apocalyptic number.

13824828 is a gapful number since it is divisible by the number (18) 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 13824828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18299736).

13824828 is an abundant number, since it is smaller than the sum of its proper divisors (22774644).

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

13824828 is a wasteful number, since it uses less digits than its factorization.

13824828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 246 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 13824828 is about 3718.1753589630. The cubic root of 13824828 is about 240.0047915710.

The spelling of 13824828 in words is "thirteen million, eight hundred twenty-four thousand, eight hundred twenty-eight".