11308128 has 144 divisors (see below), whose sum is σ = 34863696. Its totient is φ = 3194880.

The previous prime is 11308109. The next prime is 11308159. The reversal of 11308128 is 82180311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11308098 and 11308107.

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, 275788 + ... + 275828.

It is an arithmetic number, because the mean of its divisors is an integer number (242109).

Almost surely, 2^11308128 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 11308128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17431848).

11308128 is an abundant number, since it is smaller than the sum of its proper divisors (23555568).

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

11308128 is a wasteful number, since it uses less digits than its factorization.

11308128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 11308128 is about 3362.7560125587. The cubic root of 11308128 is about 224.4554932167.

Adding to 11308128 its reverse (82180311), we get a palindrome (93488439).

The spelling of 11308128 in words is "eleven million, three hundred eight thousand, one hundred twenty-eight".