13828400 has 60 divisors (see below), whose sum is σ = 33581184. Its totient is φ = 5472000.

The previous prime is 13828391. The next prime is 13828411. The reversal of 13828400 is 482831.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 13828400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72305 + ... + 72495.

Almost surely, 2^13828400 is an apocalyptic number.

13828400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13828400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16790592).

13828400 is an abundant number, since it is smaller than the sum of its proper divisors (19752784).

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

13828400 is a wasteful number, since it uses less digits than its factorization.

13828400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 13828400 is about 3718.6556710725. The cubic root of 13828400 is about 240.0254602619.

The spelling of 13828400 in words is "thirteen million, eight hundred twenty-eight thousand, four hundred".