13828416 has 56 divisors (see below), whose sum is σ = 41818560. Its totient is φ = 3950592.

The previous prime is 13828411. The next prime is 13828459. The reversal of 13828416 is 61482831.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13828411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3801 + ... + 6488.

It is an arithmetic number, because the mean of its divisors is an integer number (746760).

Almost surely, 2^13828416 is an apocalyptic number.

13828416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13828416 is an abundant number, since it is smaller than the sum of its proper divisors (27990144).

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

13828416 is a wasteful number, since it uses less digits than its factorization.

13828416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10311 (or 10301 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 13828416 is about 3718.6578223870. The cubic root of 13828416 is about 240.0255528348.

The spelling of 13828416 in words is "thirteen million, eight hundred twenty-eight thousand, four hundred sixteen".