13828512 has 48 divisors (see below), whose sum is σ = 36499680. Its totient is φ = 4584192.

The previous prime is 13828487. The next prime is 13828513. The reversal of 13828512 is 21582831.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13828512.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26914 + ... + 27422.

It is an arithmetic number, because the mean of its divisors is an integer number (760410).

Almost surely, 2^13828512 is an apocalyptic number.

13828512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13828512 is an abundant number, since it is smaller than the sum of its proper divisors (22671168).

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

13828512 is a wasteful number, since it uses less digits than its factorization.

13828512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 797 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 13828512 is about 3718.6707302476. The cubic root of 13828512 is about 240.0261082708.

The spelling of 13828512 in words is "thirteen million, eight hundred twenty-eight thousand, five hundred twelve".