11288928 has 96 divisors (see below), whose sum is σ = 34401024. Its totient is φ = 3174912.

The previous prime is 11288923. The next prime is 11288999. The reversal of 11288928 is 82988211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11288923) 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, 71826 + ... + 71982.

It is an arithmetic number, because the mean of its divisors is an integer number (358344).

Almost surely, 2^11288928 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 11288928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17200512).

11288928 is an abundant number, since it is smaller than the sum of its proper divisors (23112096).

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

11288928 is a wasteful number, since it uses less digits than its factorization.

11288928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 276 counting only the distinct ones).

The product of its digits is 18432, while the sum is 39.

The square root of 11288928 is about 3359.8999985119. The cubic root of 11288928 is about 224.3283873915.

The spelling of 11288928 in words is "eleven million, two hundred eighty-eight thousand, nine hundred twenty-eight".