8248032000 has 432 divisors, whose sum is σ = 31976319648. Its totient is φ = 2029363200.

The previous prime is 8248031867. The next prime is 8248032029. The reversal of 8248032000 is 2308428.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3742899 + ... + 3745101.

Almost surely, 2^8248032000 is an apocalyptic number.

8248032000 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 8248032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15988159824).

8248032000 is an abundant number, since it is smaller than the sum of its proper divisors (23728287648).

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

8248032000 is a wasteful number, since it uses less digits than its factorization.

8248032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8248032000 is about 90818.6764933293. The cubic root of 8248032000 is about 2020.4593276274.

The spelling of 8248032000 in words is "eight billion, two hundred forty-eight million, thirty-two thousand".