10128528 has 60 divisors (see below), whose sum is σ = 29127228. Its totient is φ = 3283200.

The previous prime is 10128509. The next prime is 10128551. The reversal of 10128528 is 82582101.

10128528 is a `hidden beast` number, since 10 + 128 + 528 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4875264 + 5253264 = 2208^2 + 2292^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4378 + ... + 6278.

Almost surely, 2^10128528 is an apocalyptic number.

10128528 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 10128528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14563614).

10128528 is an abundant number, since it is smaller than the sum of its proper divisors (18998700).

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

10128528 is a wasteful number, since it uses less digits than its factorization.

10128528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 10128528 is about 3182.5348387724. The cubic root of 10128528 is about 216.3625598207.

The spelling of 10128528 in words is "ten million, one hundred twenty-eight thousand, five hundred twenty-eight".