10938928 has 80 divisors (see below), whose sum is σ = 28498176. Its totient is φ = 3928320.

The previous prime is 10938911. The next prime is 10938929. The reversal of 10938928 is 82983901.

It is not an unprimeable number, because it can be changed into a prime (10938929) 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, 15675 + ... + 16357.

Almost surely, 2^10938928 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 10938928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14249088).

10938928 is an abundant number, since it is smaller than the sum of its proper divisors (17559248).

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

10938928 is a wasteful number, since it uses less digits than its factorization.

10938928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 10938928 is about 3307.4050250914. The cubic root of 10938928 is about 221.9856604108.

The spelling of 10938928 in words is "ten million, nine hundred thirty-eight thousand, nine hundred twenty-eight".