13228320 has 192 divisors, whose sum is σ = 49545216. Its totient is φ = 2903040.

The previous prime is 13228307. The next prime is 13228333. The reversal of 13228320 is 2382231.

It is an interprime number because it is at equal distance from previous prime (13228307) and next prime (13228333).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104097 + ... + 104223.

It is an arithmetic number, because the mean of its divisors is an integer number (258048).

Almost surely, 2^13228320 is an apocalyptic number.

13228320 is a gapful number since it is divisible by the number (10) 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 13228320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24772608).

13228320 is an abundant number, since it is smaller than the sum of its proper divisors (36316896).

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

13228320 is a wasteful number, since it uses less digits than its factorization.

13228320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 13228320 is about 3637.0757484551. The cubic root of 13228320 is about 236.5020433771.

The spelling of 13228320 in words is "thirteen million, two hundred twenty-eight thousand, three hundred twenty".