13828940 has 48 divisors (see below), whose sum is σ = 30451680. Its totient is φ = 5268480.

The previous prime is 13828937. The next prime is 13828949. The reversal of 13828940 is 4982831.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13828940.

It is not an unprimeable number, because it can be changed into a prime (13828949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65435 + ... + 65645.

It is an arithmetic number, because the mean of its divisors is an integer number (634410).

Almost surely, 2^13828940 is an apocalyptic number.

13828940 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 13828940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15225840).

13828940 is an abundant number, since it is smaller than the sum of its proper divisors (16622740).

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

13828940 is a wasteful number, since it uses less digits than its factorization.

13828940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 13828940 is about 3718.7282772475. The cubic root of 13828940 is about 240.0285845583.

The spelling of 13828940 in words is "thirteen million, eight hundred twenty-eight thousand, nine hundred forty".