8282131200 has 864 divisors, whose sum is σ = 35767710720. Its totient is φ = 1835827200.

The previous prime is 8282131163. The next prime is 8282131259. The reversal of 8282131200 is 21312828.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49593517 + ... + 49593683.

Almost surely, 2^8282131200 is an apocalyptic number.

8282131200 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 8282131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17883855360).

8282131200 is an abundant number, since it is smaller than the sum of its proper divisors (27485579520).

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

8282131200 is a wasteful number, since it uses less digits than its factorization.

8282131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8282131200 is about 91006.2151723716. The cubic root of 8282131200 is about 2023.2398422321.

The spelling of 8282131200 in words is "eight billion, two hundred eighty-two million, one hundred thirty-one thousand, two hundred".