8528860800 has 576 divisors, whose sum is σ = 31904832960. Its totient is φ = 2167603200.

The previous prime is 8528860663. The next prime is 8528860819. The reversal of 8528860800 is 80688258.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 87926352 + ... + 87926448.

It is an arithmetic number, because the mean of its divisors is an integer number (55390335).

Almost surely, 2^8528860800 is an apocalyptic number.

8528860800 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 8528860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15952416480).

8528860800 is an abundant number, since it is smaller than the sum of its proper divisors (23375972160).

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

8528860800 is a wasteful number, since it uses less digits than its factorization.

8528860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 8528860800 is about 92351.8316006781. The cubic root of 8528860800 is about 2043.1347422745.

The spelling of 8528860800 in words is "eight billion, five hundred twenty-eight million, eight hundred sixty thousand, eight hundred".