11329248 has 96 divisors (see below), whose sum is σ = 35513856. Its totient is φ = 3091968.

The previous prime is 11329237. The next prime is 11329261. The reversal of 11329248 is 84292311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15090 + ... + 15822.

It is an arithmetic number, because the mean of its divisors is an integer number (369936).

Almost surely, 2^11329248 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 11329248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17756928).

11329248 is an abundant number, since it is smaller than the sum of its proper divisors (24184608).

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

11329248 is a wasteful number, since it uses less digits than its factorization.

11329248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 768 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 11329248 is about 3365.8948290165. The cubic root of 11329248 is about 224.5951435586.

The spelling of 11329248 in words is "eleven million, three hundred twenty-nine thousand, two hundred forty-eight".