10808928 has 72 divisors (see below), whose sum is σ = 33113808. Its totient is φ = 3324672.

The previous prime is 10808927. The next prime is 10808939. The reversal of 10808928 is 82980801.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10808892 and 10808901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10808927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2301 + ... + 5187.

It is an arithmetic number, because the mean of its divisors is an integer number (459914).

Almost surely, 2^10808928 is an apocalyptic number.

10808928 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 10808928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16556904).

10808928 is an abundant number, since it is smaller than the sum of its proper divisors (22304880).

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

10808928 is a wasteful number, since it uses less digits than its factorization.

10808928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 10808928 is about 3287.6934163635. The cubic root of 10808928 is about 221.1027824630.

The spelling of 10808928 in words is "ten million, eight hundred eight thousand, nine hundred twenty-eight".