11241828 has 120 divisors (see below), whose sum is σ = 33724152. Its totient is φ = 3234816.

The previous prime is 11241827. The next prime is 11241833. The reversal of 11241828 is 82814211.

It can be written as a sum of positive squares in 4 ways, for example, as 627264 + 10614564 = 792^2 + 3258^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11241823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71526 + ... + 71682.

Almost surely, 2^11241828 is an apocalyptic number.

11241828 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 11241828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16862076).

11241828 is an abundant number, since it is smaller than the sum of its proper divisors (22482324).

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

11241828 is a wasteful number, since it uses less digits than its factorization.

11241828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 192 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 11241828 is about 3352.8835351083. The cubic root of 11241828 is about 224.0159693122.

The spelling of 11241828 in words is "eleven million, two hundred forty-one thousand, eight hundred twenty-eight".