8461283328 has 156 divisors (see below), whose sum is σ = 25348917048. Its totient is φ = 2820096000.

The previous prime is 8461283323. The next prime is 8461283329. The reversal of 8461283328 is 8233821648.

8461283328 is a `hidden beast` number, since 8 + 4 + 612 + 8 + 3 + 3 + 28 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8461283323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 991078 + ... + 999578.

It is an arithmetic number, because the mean of its divisors is an integer number (162493058).

Almost surely, 2^8461283328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8461283328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12674458524).

8461283328 is an abundant number, since it is smaller than the sum of its proper divisors (16887633720).

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

8461283328 is an frugal number, since it uses more digits than its factorization.

8461283328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8540 (or 8506 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 8461283328 is about 91985.2342933364. The cubic root of 8461283328 is about 2037.7242441939.

The spelling of 8461283328 in words is "eight billion, four hundred sixty-one million, two hundred eighty-three thousand, three hundred twenty-eight".