8528084800 has 84 divisors (see below), whose sum is σ = 21201138700. Its totient is φ = 3376005120.

The previous prime is 8528084771. The next prime is 8528084813. The reversal of 8528084800 is 84808258.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 577152576 + 7950932224 = 24024^2 + 89168^2 .

It is a congruent number.

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, 127726 + ... + 182674.

Almost surely, 2^8528084800 is an apocalyptic number.

8528084800 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 8528084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10600569350).

8528084800 is an abundant number, since it is smaller than the sum of its proper divisors (12673053900).

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

8528084800 is a wasteful number, since it uses less digits than its factorization.

8528084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55068 (or 55053 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 43.

The square root of 8528084800 is about 92347.6301807469. The cubic root of 8528084800 is about 2043.0727753958.

The spelling of 8528084800 in words is "eight billion, five hundred twenty-eight million, eighty-four thousand, eight hundred".