14464128 has 64 divisors (see below), whose sum is σ = 43917120. Its totient is φ = 4131840.

The previous prime is 14464117. The next prime is 14464129. The reversal of 14464128 is 82146441.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14464095 and 14464104.

It is not an unprimeable number, because it can be changed into a prime (14464129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3 + ... + 5378.

It is an arithmetic number, because the mean of its divisors is an integer number (686205).

Almost surely, 2^14464128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14464128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21958560).

14464128 is an abundant number, since it is smaller than the sum of its proper divisors (29452992).

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

14464128 is an equidigital number, since it uses as much as digits as its factorization.

14464128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5405 (or 5393 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 14464128 is about 3803.1734117708. The cubic root of 14464128 is about 243.6486926803.

The spelling of 14464128 in words is "fourteen million, four hundred sixty-four thousand, one hundred twenty-eight".