11385528 has 128 divisors (see below), whose sum is σ = 36426240. Its totient is φ = 2880000.

The previous prime is 11385527. The next prime is 11385553. The reversal of 11385528 is 82558311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11385527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112678 + ... + 112778.

It is an arithmetic number, because the mean of its divisors is an integer number (284580).

Almost surely, 2^11385528 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 11385528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18213120).

11385528 is an abundant number, since it is smaller than the sum of its proper divisors (25040712).

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

11385528 is a wasteful number, since it uses less digits than its factorization.

11385528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 185 counting only the distinct ones).

The product of its digits is 9600, while the sum is 33.

The square root of 11385528 is about 3374.2448043970. The cubic root of 11385528 is about 224.9664344991.

It can be divided in two parts, 1138 and 5528, that added together give a palindrome (6666).

The spelling of 11385528 in words is "eleven million, three hundred eighty-five thousand, five hundred twenty-eight".