11097828 has 72 divisors (see below), whose sum is σ = 32777472. Its totient is φ = 3100032.

The previous prime is 11097773. The next prime is 11097871. The reversal of 11097828 is 82879011.

11097828 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 a junction number, because it is equal to n+sod(n) for n = 11097792 and 11097801.

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, 11376 + ... + 12312.

Almost surely, 2^11097828 is an apocalyptic number.

11097828 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 11097828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16388736).

11097828 is an abundant number, since it is smaller than the sum of its proper divisors (21679644).

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

11097828 is a wasteful number, since it uses less digits than its factorization.

11097828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 11097828 is about 3331.3402708219. The cubic root of 11097828 is about 223.0553597133.

The spelling of 11097828 in words is "eleven million, ninety-seven thousand, eight hundred twenty-eight".