14084928 has 280 divisors, whose sum is σ = 51633120. Its totient is φ = 3732480.

The previous prime is 14084927. The next prime is 14084929. The reversal of 14084928 is 82948041.

14084928 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14084927) and next prime (14084929).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14084892 and 14084901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14084921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 741303 + ... + 741321.

It is an arithmetic number, because the mean of its divisors is an integer number (184404).

Almost surely, 2^14084928 is an apocalyptic number.

14084928 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 14084928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25816560).

14084928 is an abundant number, since it is smaller than the sum of its proper divisors (37548192).

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

14084928 is a wasteful number, since it uses less digits than its factorization.

14084928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 14084928 is about 3752.9892086176. The cubic root of 14084928 is about 241.5005979693.

It can be divided in two parts, 1408 and 4928, that added together give a palindrome (6336).

The spelling of 14084928 in words is "fourteen million, eighty-four thousand, nine hundred twenty-eight".