10891328 has 84 divisors (see below), whose sum is σ = 26407872. Its totient is φ = 4435200.

The previous prime is 10891303. The next prime is 10891333. The reversal of 10891328 is 82319801.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 10891294 and 10891303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72053 + ... + 72203.

Almost surely, 2^10891328 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 10891328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13203936).

10891328 is an abundant number, since it is smaller than the sum of its proper divisors (15516544).

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

10891328 is a wasteful number, since it uses less digits than its factorization.

10891328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 10891328 is about 3300.2012059873. The cubic root of 10891328 is about 221.6632070867.

The spelling of 10891328 in words is "ten million, eight hundred ninety-one thousand, three hundred twenty-eight".