14783328 has 72 divisors (see below), whose sum is σ = 48052368. Its totient is φ = 4223232.

The previous prime is 14783323. The next prime is 14783371. The reversal of 14783328 is 82338741.

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

It is a junction number, because it is equal to n+sod(n) for n = 14783292 and 14783301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14783323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1651 + ... + 5682.

It is an arithmetic number, because the mean of its divisors is an integer number (667394).

Almost surely, 2^14783328 is an apocalyptic number.

14783328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14783328 is an abundant number, since it is smaller than the sum of its proper divisors (33269040).

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

14783328 is a wasteful number, since it uses less digits than its factorization.

14783328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7356 (or 7345 counting only the distinct ones).

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

The square root of 14783328 is about 3844.9093617405. The cubic root of 14783328 is about 245.4279788680.

It can be divided in two parts, 1478332 and 8, that added together give a triangular number (1478340 = T₁₇₁₉).

The spelling of 14783328 in words is "fourteen million, seven hundred eighty-three thousand, three hundred twenty-eight".