11293128 has 192 divisors, whose sum is σ = 40219200. Its totient is φ = 2903040.

The previous prime is 11293123. The next prime is 11293141. The reversal of 11293128 is 82139211.

11293128 is a nontrivial binomial coefficient, being equal to C(4753, 2).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11293123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116376 + ... + 116472.

It is an arithmetic number, because the mean of its divisors is an integer number (209475).

Almost surely, 2^11293128 is an apocalyptic number.

11293128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

11293128 is the 4752-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11293128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20109600).

11293128 is an abundant number, since it is smaller than the sum of its proper divisors (28926072).

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

11293128 is a wasteful number, since it uses less digits than its factorization.

11293128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 120 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 11293128 is about 3360.5249589908. The cubic root of 11293128 is about 224.3562040984.

The spelling of 11293128 in words is "eleven million, two hundred ninety-three thousand, one hundred twenty-eight".