10871328 has 96 divisors (see below), whose sum is σ = 31836672. Its totient is φ = 3225600.

The previous prime is 10871323. The next prime is 10871351. The reversal of 10871328 is 82317801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 10871295 and 10871304.

It is not an unprimeable number, because it can be changed into a prime (10871321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38548 + ... + 38828.

It is an arithmetic number, because the mean of its divisors is an integer number (331632).

Almost surely, 2^10871328 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 10871328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15918336).

10871328 is an abundant number, since it is smaller than the sum of its proper divisors (20965344).

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

10871328 is a wasteful number, since it uses less digits than its factorization.

10871328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 10871328 is about 3297.1696953599. The cubic root of 10871328 is about 221.5274421751.

It can be divided in two parts, 1087 and 1328, that added together give a triangular number (2415 = T₆₉).

The spelling of 10871328 in words is "ten million, eight hundred seventy-one thousand, three hundred twenty-eight".