14941728 has 72 divisors (see below), whose sum is σ = 43980300. Its totient is φ = 4806144.

The previous prime is 14941709. The next prime is 14941763. The reversal of 14941728 is 82714941.

It can be written as a sum of positive squares in 2 ways, for example, as 13749264 + 1192464 = 3708^2 + 1092^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14941692 and 14941701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7458 + ... + 9246.

Almost surely, 2^14941728 is an apocalyptic number.

14941728 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 14941728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21990150).

14941728 is an abundant number, since it is smaller than the sum of its proper divisors (29038572).

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

14941728 is a wasteful number, since it uses less digits than its factorization.

14941728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1823 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 14941728 is about 3865.4531429058. The cubic root of 14941728 is about 246.3014349686.

It can be divided in two parts, 1 and 4941728, that added together give a square (4941729 = 2223²).

The spelling of 14941728 in words is "fourteen million, nine hundred forty-one thousand, seven hundred twenty-eight".