8467282000 has 80 divisors (see below), whose sum is σ = 20704366800. Its totient is φ = 3348787200.

The previous prime is 8467281973. The next prime is 8467282013. The reversal of 8467282000 is 2827648.

It can be written as a sum of positive squares in 8 ways, for example, as 4264612416 + 4202669584 = 65304^2 + 64828^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154216 + ... + 201784.

It is an arithmetic number, because the mean of its divisors is an integer number (258804585).

Almost surely, 2^8467282000 is an apocalyptic number.

8467282000 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 8467282000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10352183400).

8467282000 is an abundant number, since it is smaller than the sum of its proper divisors (12237084800).

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

8467282000 is a wasteful number, since it uses less digits than its factorization.

8467282000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47681 (or 47665 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 8467282000 is about 92017.8352277427. The cubic root of 8467282000 is about 2038.2056822673.

The spelling of 8467282000 in words is "eight billion, four hundred sixty-seven million, two hundred eighty-two thousand".