11529288 has 48 divisors (see below), whose sum is σ = 31898880. Its totient is φ = 3760224.

The previous prime is 11529283. The next prime is 11529299. The reversal of 11529288 is 88292511.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11529283) 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 11 ways as a sum of consecutive naturals, for example, 1681 + ... + 5087.

It is an arithmetic number, because the mean of its divisors is an integer number (664560).

Almost surely, 2^11529288 is an apocalyptic number.

11529288 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 11529288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15949440).

11529288 is an abundant number, since it is smaller than the sum of its proper divisors (20369592).

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

11529288 is a wasteful number, since it uses less digits than its factorization.

11529288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3466 (or 3459 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 11529288 is about 3395.4805256399. The cubic root of 11529288 is about 225.9093274503.

It can be divided in two parts, 1152 and 9288, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 11529288 in words is "eleven million, five hundred twenty-nine thousand, two hundred eighty-eight".