13248928 has 96 divisors (see below), whose sum is σ = 34352640. Its totient is φ = 4872960.

The previous prime is 13248889. The next prime is 13248929. The reversal of 13248928 is 82984231.

13248928 is nontrivially palindromic in base 12.

It is not an unprimeable number, because it can be changed into a prime (13248929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46675 + ... + 46957.

It is an arithmetic number, because the mean of its divisors is an integer number (357840).

Almost surely, 2^13248928 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 13248928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17176320).

13248928 is an abundant number, since it is smaller than the sum of its proper divisors (21103712).

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

13248928 is a wasteful number, since it uses less digits than its factorization.

13248928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 322 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 13248928 is about 3639.9076911372. The cubic root of 13248928 is about 236.6247927856.

The spelling of 13248928 in words is "thirteen million, two hundred forty-eight thousand, nine hundred twenty-eight".