13283328 has 104 divisors (see below), whose sum is σ = 37744128. Its totient is φ = 4145152.

The previous prime is 13283327. The next prime is 13283329. The reversal of 13283328 is 82338231.

It is an interprime number because it is at equal distance from previous prime (13283327) and next prime (13283329).

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 = 13283295 and 13283304.

It is not an unprimeable number, because it can be changed into a prime (13283323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282601 + ... + 282647.

Almost surely, 2^13283328 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 13283328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18872064).

13283328 is an abundant number, since it is smaller than the sum of its proper divisors (24460800).

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

13283328 is an equidigital number, since it uses as much as digits as its factorization.

13283328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 75 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 13283328 is about 3644.6300223754. The cubic root of 13283328 is about 236.8294095443.

It can be divided in two parts, 1328 and 3328, that added together give a triangular number (4656 = T₉₆).

The spelling of 13283328 in words is "thirteen million, two hundred eighty-three thousand, three hundred twenty-eight".