13828480 has 128 divisors (see below), whose sum is σ = 37013760. Its totient is φ = 4915200.

The previous prime is 13828459. The next prime is 13828487. The reversal of 13828480 is 8482831.

13828480 = T₉₂₉ + T₉₃₀ + ... + T₉₅₉.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×13828480² = 382453718220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13828487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337260 + ... + 337300.

It is an arithmetic number, because the mean of its divisors is an integer number (289170).

Almost surely, 2^13828480 is an apocalyptic number.

13828480 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 13828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18506880).

13828480 is an abundant number, since it is smaller than the sum of its proper divisors (23185280).

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

13828480 is a wasteful number, since it uses less digits than its factorization.

13828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 13828480 is about 3718.6664276324. Note that the first 3 decimals coincide. The cubic root of 13828480 is about 240.0259231258.

The spelling of 13828480 in words is "thirteen million, eight hundred twenty-eight thousand, four hundred eighty".