13228328448 has 120 divisors (see below), whose sum is σ = 38292502248. Its totient is φ = 4396204032.

The previous prime is 13228328441. The next prime is 13228328479. The reversal of 13228328448 is 84482382231.

13228328448 is a `hidden beast` number, since 1 + 322 + 8 + 3 + 284 + 48 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13228328441) 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 11 ways as a sum of consecutive naturals, for example, 1594840 + ... + 1603112.

Almost surely, 2^13228328448 is an apocalyptic number.

13228328448 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 13228328448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19146251124).

13228328448 is an abundant number, since it is smaller than the sum of its proper divisors (25064173800).

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

13228328448 is an equidigital number, since it uses as much as digits as its factorization.

13228328448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8644 (or 8625 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The spelling of 13228328448 in words is "thirteen billion, two hundred twenty-eight million, three hundred twenty-eight thousand, four hundred forty-eight".