14797728 has 144 divisors (see below), whose sum is σ = 47882016. Its totient is φ = 4458240.

The previous prime is 14797723. The next prime is 14797733. The reversal of 14797728 is 82779741.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14797723) and next prime (14797733).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (14797723) 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, 85450 + ... + 85622.

It is an arithmetic number, because the mean of its divisors is an integer number (332514).

Almost surely, 2^14797728 is an apocalyptic number.

14797728 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 14797728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23941008).

14797728 is an abundant number, since it is smaller than the sum of its proper divisors (33084288).

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

14797728 is a wasteful number, since it uses less digits than its factorization.

14797728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 189 counting only the distinct ones).

The product of its digits is 197568, while the sum is 45.

The square root of 14797728 is about 3846.7815118616. The cubic root of 14797728 is about 245.5076410390.

The spelling of 14797728 in words is "fourteen million, seven hundred ninety-seven thousand, seven hundred twenty-eight".