10006528 has 52 divisors (see below), whose sum is σ = 22934800. Its totient is φ = 4276224.

The previous prime is 10006519. The next prime is 10006547. The reversal of 10006528 is 82560001.

It is a happy number.

It is a super-2 number, since 2×10006528² = 200261205229568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10006499 and 10006508.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28498 + ... + 28846.

Almost surely, 2^10006528 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 10006528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11467400).

10006528 is an abundant number, since it is smaller than the sum of its proper divisors (12928272).

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

10006528 is an frugal number, since it uses more digits than its factorization.

10006528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 10006528 is about 3163.3096592019. The cubic root of 10006528 is about 215.4903393045.

Adding to 10006528 its reverse (82560001), we get a palindrome (92566529).

The spelling of 10006528 in words is "ten million, six thousand, five hundred twenty-eight".