14738328 has 64 divisors (see below), whose sum is σ = 44668800. Its totient is φ = 4465440.

The previous prime is 14738327. The next prime is 14738329. The reversal of 14738328 is 82383741.

It is an interprime number because it is at equal distance from previous prime (14738327) and next prime (14738329).

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 14738292 and 14738301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14738327) 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 15 ways as a sum of consecutive naturals, for example, 726 + ... + 5477.

It is an arithmetic number, because the mean of its divisors is an integer number (697950).

Almost surely, 2^14738328 is an apocalyptic number.

14738328 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 14738328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22334400).

14738328 is an abundant number, since it is smaller than the sum of its proper divisors (29930472).

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

14738328 is a wasteful number, since it uses less digits than its factorization.

14738328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6229 (or 6219 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 14738328 is about 3839.0530082300. The cubic root of 14738328 is about 245.1787006684.

It can be divided in two parts, 1473 and 8328, that added together give a square (9801 = 99²).

The spelling of 14738328 in words is "fourteen million, seven hundred thirty-eight thousand, three hundred twenty-eight".