14563728 has 60 divisors (see below), whose sum is σ = 42911440. Its totient is φ = 4598208.

The previous prime is 14563697. The next prime is 14563739. The reversal of 14563728 is 82736541.

14563728 is a `hidden beast` number, since 14 + 5 + 637 + 2 + 8 = 666.

14563728 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 14563692 and 14563701.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75 + ... + 5397.

Almost surely, 2^14563728 is an apocalyptic number.

14563728 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 14563728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21455720).

14563728 is an abundant number, since it is smaller than the sum of its proper divisors (28347712).

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

14563728 is a wasteful number, since it uses less digits than its factorization.

14563728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5356 (or 5347 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 14563728 is about 3816.2452751363. The cubic root of 14563728 is about 244.2066689395.

It can be divided in two parts, 1456 and 3728, that added together give a square (5184 = 72²).

The spelling of 14563728 in words is "fourteen million, five hundred sixty-three thousand, seven hundred twenty-eight".