8281872000 has 512 divisors, whose sum is σ = 32142240000. Its totient is φ = 2090188800.

The previous prime is 8281871999. The next prime is 8281872041. The reversal of 8281872000 is 2781828.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8207496 + ... + 8208504.

Almost surely, 2^8281872000 is an apocalyptic number.

8281872000 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 8281872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16071120000).

8281872000 is an abundant number, since it is smaller than the sum of its proper divisors (23860368000).

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

8281872000 is a wasteful number, since it uses less digits than its factorization.

8281872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 8281872000 is about 91004.7910826677. The cubic root of 8281872000 is about 2023.2187353767.

The spelling of 8281872000 in words is "eight billion, two hundred eighty-one million, eight hundred seventy-two thousand".