10528320 has 112 divisors (see below), whose sum is σ = 36502848. Its totient is φ = 2549760.

The previous prime is 10528307. The next prime is 10528361. The reversal of 10528320 is 2382501.

Added to its reverse (2382501) it gives a triangular number (12910821 = T₅₀₈₁).

It is a super-2 number, since 2×10528320² = 221691044044800, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10062 + ... + 11058.

Almost surely, 2^10528320 is an apocalyptic number.

10528320 is a gapful number since it is divisible by the number (10) 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 10528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18251424).

10528320 is an abundant number, since it is smaller than the sum of its proper divisors (25974528).

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

10528320 is a wasteful number, since it uses less digits than its factorization.

10528320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 10528320 is about 3244.7372775003. The cubic root of 10528320 is about 219.1726500766.

Adding to 10528320 its reverse (2382501), we get a triangular number (12910821 = T₅₀₈₁).

The spelling of 10528320 in words is "ten million, five hundred twenty-eight thousand, three hundred twenty".