14742728 has 96 divisors (see below), whose sum is σ = 37920960. Its totient is φ = 5281920.

The previous prime is 14742703. The next prime is 14742751. The reversal of 14742728 is 82724741.

It is a happy number.

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

It is an unprimeable number.

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, 55925 + ... + 56187.

It is an arithmetic number, because the mean of its divisors is an integer number (395010).

Almost surely, 2^14742728 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 14742728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18960480).

14742728 is an abundant number, since it is smaller than the sum of its proper divisors (23178232).

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

14742728 is a wasteful number, since it uses less digits than its factorization.

14742728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 296 counting only the distinct ones).

The product of its digits is 25088, while the sum is 35.

The square root of 14742728 is about 3839.6260234559. The cubic root of 14742728 is about 245.2030968990.

It can be divided in two parts, 14742 and 728, that multiplied together give a square (10732176 = 3276²).

The spelling of 14742728 in words is "fourteen million, seven hundred forty-two thousand, seven hundred twenty-eight".