11552288 has 48 divisors (see below), whose sum is σ = 25510464. Its totient is φ = 5103360.

The previous prime is 11552269. The next prime is 11552293. The reversal of 11552288 is 88225511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12581 + ... + 13467.

It is an arithmetic number, because the mean of its divisors is an integer number (531468).

Almost surely, 2^11552288 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 11552288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12755232).

11552288 is an abundant number, since it is smaller than the sum of its proper divisors (13958176).

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

11552288 is a wasteful number, since it uses less digits than its factorization.

11552288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 937 counting only the distinct ones).

The product of its digits is 6400, while the sum is 32.

The square root of 11552288 is about 3398.8656931394. The cubic root of 11552288 is about 226.0594512976.

Adding to 11552288 its reverse (88225511), we get a palindrome (99777799).

It can be divided in two parts, 11552 and 288, that multiplied together give a square (3326976 = 1824²).

The spelling of 11552288 in words is "eleven million, five hundred fifty-two thousand, two hundred eighty-eight".