13820328 has 64 divisors (see below), whose sum is σ = 38808000. Its totient is φ = 4556736.

The previous prime is 13820299. The next prime is 13820381. The reversal of 13820328 is 82302831.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23251 + ... + 23837.

It is an arithmetic number, because the mean of its divisors is an integer number (606375).

Almost surely, 2^13820328 is an apocalyptic number.

13820328 is a gapful number since it is divisible by the number (18) 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 13820328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19404000).

13820328 is an abundant number, since it is smaller than the sum of its proper divisors (24987672).

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

13820328 is a wasteful number, since it uses less digits than its factorization.

13820328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13820328 is about 3717.5701741864. The cubic root of 13820328 is about 239.9787481182.

The spelling of 13820328 in words is "thirteen million, eight hundred twenty thousand, three hundred twenty-eight".