11289408 has 56 divisors (see below), whose sum is σ = 32174688. Its totient is φ = 3472896.

The previous prime is 11289379. The next prime is 11289409. The reversal of 11289408 is 80498211.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11289409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 235 + ... + 4757.

It is an arithmetic number, because the mean of its divisors is an integer number (574548).

Almost surely, 2^11289408 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 11289408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16087344).

11289408 is an abundant number, since it is smaller than the sum of its proper divisors (20885280).

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

11289408 is a wasteful number, since it uses less digits than its factorization.

11289408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4551 (or 4541 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 11289408 is about 3359.9714284500. The cubic root of 11289408 is about 224.3315667929.

The spelling of 11289408 in words is "eleven million, two hundred eighty-nine thousand, four hundred eight".