11849328 has 100 divisors (see below), whose sum is σ = 35289408. Its totient is φ = 3836160.

The previous prime is 11849309. The next prime is 11849339. The reversal of 11849328 is 82394811.

11849328 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 nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11849292 and 11849301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53025 + ... + 53247.

Almost surely, 2^11849328 is an apocalyptic number.

11849328 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 11849328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17644704).

11849328 is an abundant number, since it is smaller than the sum of its proper divisors (23440080).

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

11849328 is a wasteful number, since it uses less digits than its factorization.

11849328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 269 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 11849328 is about 3442.2852874217. The cubic root of 11849328 is about 227.9806077689.

The spelling of 11849328 in words is "eleven million, eight hundred forty-nine thousand, three hundred twenty-eight".