11289828 has 72 divisors (see below), whose sum is σ = 30028320. Its totient is φ = 3273600.

The previous prime is 11289809. The next prime is 11289841. The reversal of 11289828 is 82898211.

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, 126808 + ... + 126896.

It is an arithmetic number, because the mean of its divisors is an integer number (417060).

Almost surely, 2^11289828 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 11289828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15014160).

11289828 is an abundant number, since it is smaller than the sum of its proper divisors (18738492).

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

11289828 is a wasteful number, since it uses less digits than its factorization.

11289828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 136 counting only the distinct ones).

The product of its digits is 18432, while the sum is 39.

The square root of 11289828 is about 3360.0339284001. The cubic root of 11289828 is about 224.3343486951.

The spelling of 11289828 in words is "eleven million, two hundred eighty-nine thousand, eight hundred twenty-eight".