11293828 has 96 divisors (see below), whose sum is σ = 27095040. Its totient is φ = 3991680.

The previous prime is 11293801. The next prime is 11293829. The reversal of 11293828 is 82839211.

It is a junction number, because it is equal to n+sod(n) for n = 11293793 and 11293802.

It is not an unprimeable number, because it can be changed into a prime (11293829) 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, 159033 + ... + 159103.

It is an arithmetic number, because the mean of its divisors is an integer number (282240).

Almost surely, 2^11293828 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 11293828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547520).

11293828 is an abundant number, since it is smaller than the sum of its proper divisors (15801212).

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

11293828 is a wasteful number, since it uses less digits than its factorization.

11293828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 135 counting only the distinct ones).

The product of its digits is 6912, while the sum is 34.

The square root of 11293828 is about 3360.6291077713. The cubic root of 11293828 is about 224.3608395457.

It can be divided in two parts, 11293 and 828, that added together give a palindrome (12121).

The spelling of 11293828 in words is "eleven million, two hundred ninety-three thousand, eight hundred twenty-eight".