10208928 has 96 divisors (see below), whose sum is σ = 29332800. Its totient is φ = 3096576.

The previous prime is 10208921. The next prime is 10208953. The reversal of 10208928 is 82980201.

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 = 10208895 and 10208904.

It is not an unprimeable number, because it can be changed into a prime (10208921) 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 15 ways as a sum of consecutive naturals, for example, 52800 + ... + 52992.

It is an arithmetic number, because the mean of its divisors is an integer number (305550).

Almost surely, 2^10208928 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 10208928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14666400).

10208928 is an abundant number, since it is smaller than the sum of its proper divisors (19123872).

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

10208928 is a wasteful number, since it uses less digits than its factorization.

10208928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 10208928 is about 3195.1413114290. The cubic root of 10208928 is about 216.9335451685.

The spelling of 10208928 in words is "ten million, two hundred eight thousand, nine hundred twenty-eight".