11385288 has 24 divisors (see below), whose sum is σ = 30835350. Its totient is φ = 3795072.

The previous prime is 11385271. The next prime is 11385323. The reversal of 11385288 is 88258311.

It can be written as a sum of positive squares in only one way, i.e., 10381284 + 1004004 = 3222^2 + 1002^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a nialpdrome in base 15.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 78993 + ... + 79136.

Almost surely, 2^11385288 is an apocalyptic number.

11385288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11385288 is an abundant number, since it is smaller than the sum of its proper divisors (19450062).

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

11385288 is a wasteful number, since it uses less digits than its factorization.

11385288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158141 (or 158134 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 11385288 is about 3374.2092406963. The cubic root of 11385288 is about 224.9648537695.

The spelling of 11385288 in words is "eleven million, three hundred eighty-five thousand, two hundred eighty-eight".