13828563 has 40 divisors (see below), whose sum is σ = 24451680. Its totient is φ = 7629552.

The previous prime is 13828559. The next prime is 13828571. The reversal of 13828563 is 36582831.

13828563 is a `hidden beast` number, since 13 + 82 + 8 + 563 = 666.

It is not a de Polignac number, because 13828563 - 2² = 13828559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13828513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 476833 + ... + 476861.

It is an arithmetic number, because the mean of its divisors is an integer number (611292).

Almost surely, 2^13828563 is an apocalyptic number.

13828563 is a deficient number, since it is larger than the sum of its proper divisors (10623117).

13828563 is an frugal number, since it uses more digits than its factorization.

13828563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 39 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 13828563 is about 3718.6775875303. The cubic root of 13828563 is about 240.0264033452.

The spelling of 13828563 in words is "thirteen million, eight hundred twenty-eight thousand, five hundred sixty-three".