11417328 has 160 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 3297024.

The previous prime is 11417327. The next prime is 11417333. The reversal of 11417328 is 82371411.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11417327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 106651 + ... + 106757.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 2^11417328 is an apocalyptic number.

11417328 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 11417328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

11417328 is an abundant number, since it is smaller than the sum of its proper divisors (26080272).

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

11417328 is a wasteful number, since it uses less digits than its factorization.

11417328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 144 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 11417328 is about 3378.9536842046. The cubic root of 11417328 is about 225.1756850078.

Adding to 11417328 its reverse (82371411), we get a palindrome (93788739).

The spelling of 11417328 in words is "eleven million, four hundred seventeen thousand, three hundred twenty-eight".