10823328 has 48 divisors (see below), whose sum is σ = 31570560. Its totient is φ = 3607488.

The previous prime is 10823327. The next prime is 10823347. The reversal of 10823328 is 82332801.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (10823327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5400 + ... + 7127.

It is an arithmetic number, because the mean of its divisors is an integer number (657720).

Almost surely, 2^10823328 is an apocalyptic number.

10823328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10823328 is an abundant number, since it is smaller than the sum of its proper divisors (20747232).

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

10823328 is a wasteful number, since it uses less digits than its factorization.

10823328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12546 (or 12532 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10823328 is about 3289.8826726800. The cubic root of 10823328 is about 221.2009256284.

It can be divided in two parts, 108 and 23328, that added together give a triangular number (23436 = T₂₁₆).

The spelling of 10823328 in words is "ten million, eight hundred twenty-three thousand, three hundred twenty-eight".