8382528000 has 1440 divisors, whose sum is σ = 39733581888. Its totient is φ = 1741824000.

The previous prime is 8382527963. The next prime is 8382528017. The reversal of 8382528000 is 8252838.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 762047995 + ... + 762048005.

Almost surely, 2^8382528000 is an apocalyptic number.

8382528000 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 8382528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19866790944).

8382528000 is an abundant number, since it is smaller than the sum of its proper divisors (31351053888).

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

8382528000 is an equidigital number, since it uses as much as digits as its factorization.

8382528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 8382528000 is about 91556.1467079081. The cubic root of 8382528000 is about 2031.3823323648.

The spelling of 8382528000 in words is "eight billion, three hundred eighty-two million, five hundred twenty-eight thousand".