13828007 has 8 divisors (see below), whose sum is σ = 14138880. Its totient is φ = 13519800.

The previous prime is 13827977. The next prime is 13828039. The reversal of 13828007 is 70082831.

13828007 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13828007 - 2⁶ = 13827943 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13828057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12632 + ... + 13682.

It is an arithmetic number, because the mean of its divisors is an integer number (1767360).

Almost surely, 2^13828007 is an apocalyptic number.

13828007 is a deficient number, since it is larger than the sum of its proper divisors (310873).

13828007 is a wasteful number, since it uses less digits than its factorization.

13828007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333.

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 13828007 is about 3718.6028290206. The cubic root of 13828007 is about 240.0231864173.

The spelling of 13828007 in words is "thirteen million, eight hundred twenty-eight thousand, seven".