14728896 has 168 divisors, whose sum is σ = 52145184. Its totient is φ = 3870720.

The previous prime is 14728891. The next prime is 14728913. The reversal of 14728896 is 69882741.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is not an unprimeable number, because it can be changed into a prime (14728891) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 52276 + ... + 52556.

It is an arithmetic number, because the mean of its divisors is an integer number (310388).

Almost surely, 2^14728896 is an apocalyptic number.

14728896 is a gapful number since it is divisible by the number (16) 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 14728896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26072592).

14728896 is an abundant number, since it is smaller than the sum of its proper divisors (37416288).

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

14728896 is a wasteful number, since it uses less digits than its factorization.

14728896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 306 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 14728896 is about 3837.8243836841. The cubic root of 14728896 is about 245.1263876563.

The spelling of 14728896 in words is "fourteen million, seven hundred twenty-eight thousand, eight hundred ninety-six".