10520928 has 168 divisors, whose sum is σ = 34704936. Its totient is φ = 3110400.

The previous prime is 10520899. The next prime is 10520929. The reversal of 10520928 is 82902501.

It is a super-2 number, since 2×10520928² = 221379851962368, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10520929) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 256588 + ... + 256628.

It is an arithmetic number, because the mean of its divisors is an integer number (206577).

Almost surely, 2^10520928 is an apocalyptic number.

10520928 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 10520928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17352468).

10520928 is an abundant number, since it is smaller than the sum of its proper divisors (24184008).

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

10520928 is an equidigital number, since it uses as much as digits as its factorization.

10520928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10520928 is about 3243.5980022191. The cubic root of 10520928 is about 219.1213438997.

The spelling of 10520928 in words is "ten million, five hundred twenty thousand, nine hundred twenty-eight".