11828268 has 72 divisors (see below), whose sum is σ = 31839808. Its totient is φ = 3837456.

The previous prime is 11828251. The next prime is 11828273. The reversal of 11828268 is 86282811.

11828268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41655 + ... + 41937.

Almost surely, 2^11828268 is an apocalyptic number.

11828268 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 11828268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15919904).

11828268 is an abundant number, since it is smaller than the sum of its proper divisors (20011540).

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

11828268 is a wasteful number, since it uses less digits than its factorization.

11828268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 331 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 11828268 is about 3439.2249126802. The cubic root of 11828268 is about 227.8454631467.

The spelling of 11828268 in words is "eleven million, eight hundred twenty-eight thousand, two hundred sixty-eight".