13824432 has 50 divisors (see below), whose sum is σ = 40015668. Its totient is φ = 4607712.

The previous prime is 13824409. The next prime is 13824443. The reversal of 13824432 is 23442831.

13824432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13824432² = 382229840245248, which contains 22 as substring.

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

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 = 13824396 and 13824405.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4038 + ... + 6629.

Almost surely, 2^13824432 is an apocalyptic number.

13824432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13824432 is an abundant number, since it is smaller than the sum of its proper divisors (26191236).

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

13824432 is a wasteful number, since it uses less digits than its factorization.

13824432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10687 (or 10672 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 13824432 is about 3718.1221066555. The cubic root of 13824432 is about 240.0024999740.

The spelling of 13824432 in words is "thirteen million, eight hundred twenty-four thousand, four hundred thirty-two".