10528224 has 48 divisors (see below), whose sum is σ = 31586688. Its totient is φ = 3007872.

The previous prime is 10528211. The next prime is 10528229. The reversal of 10528224 is 42282501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10528224² = 221687001188352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10528194 and 10528203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10528229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7162 + ... + 8505.

It is an arithmetic number, because the mean of its divisors is an integer number (658056).

Almost surely, 2^10528224 is an apocalyptic number.

10528224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10528224 is an abundant number, since it is smaller than the sum of its proper divisors (21058464).

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

10528224 is a wasteful number, since it uses less digits than its factorization.

10528224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15687 (or 15679 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 10528224 is about 3244.7224842812. The cubic root of 10528224 is about 219.1719839165.

The spelling of 10528224 in words is "ten million, five hundred twenty-eight thousand, two hundred twenty-four".