8528000 has 128 divisors (see below), whose sum is σ = 23390640. Its totient is φ = 3072000.

The previous prime is 8527991. The next prime is 8528021. The reversal of 8528000 is 8258.

It can be written as a sum of positive squares in 8 ways, for example, as 732736 + 7795264 = 856^2 + 2792^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207980 + ... + 208020.

Almost surely, 2^8528000 is an apocalyptic number.

8528000 is a gapful number since it is divisible by the number (80) 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 8528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11695320).

8528000 is an abundant number, since it is smaller than the sum of its proper divisors (14862640).

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

8528000 is a wasteful number, since it uses less digits than its factorization.

8528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 8528000 is about 2920.2739597510. The cubic root of 8528000 is about 204.3066003530.

The spelling of 8528000 in words is "eight million, five hundred twenty-eight thousand".