11007828 has 72 divisors (see below), whose sum is σ = 30718688. Its totient is φ = 3302208.

The previous prime is 11007797. The next prime is 11007853. The reversal of 11007828 is 82870011.

It is a congruent number.

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, 19851 + ... + 20397.

Almost surely, 2^11007828 is an apocalyptic number.

11007828 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 11007828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15359344).

11007828 is an abundant number, since it is smaller than the sum of its proper divisors (19710860).

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

11007828 is a wasteful number, since it uses less digits than its factorization.

11007828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 11007828 is about 3317.8046958795. The cubic root of 11007828 is about 222.4507520511.

Adding to 11007828 its reverse (82870011), we get a palindrome (93877839).

The spelling of 11007828 in words is "eleven million, seven thousand, eight hundred twenty-eight".