14428800 has 192 divisors, whose sum is σ = 53121600. Its totient is φ = 3824640.

The previous prime is 14428793. The next prime is 14428807. The reversal of 14428800 is 882441.

It is an interprime number because it is at equal distance from previous prime (14428793) and next prime (14428807).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (14428807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86317 + ... + 86483.

It is an arithmetic number, because the mean of its divisors is an integer number (276675).

Almost surely, 2^14428800 is an apocalyptic number.

14428800 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 14428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26560800).

14428800 is an abundant number, since it is smaller than the sum of its proper divisors (38692800).

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

14428800 is a wasteful number, since it uses less digits than its factorization.

14428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 14428800 is about 3798.5260299227. The cubic root of 14428800 is about 243.4501638681.

The spelling of 14428800 in words is "fourteen million, four hundred twenty-eight thousand, eight hundred".