8267447628 has 96 divisors (see below), whose sum is σ = 23407749120. Its totient is φ = 2502601920.

The previous prime is 8267447623. The next prime is 8267447641.

It is a happy number.

8267447628 is a `hidden beast` number, since 8 + 2 + 6 + 7 + 4 + 4 + 7 + 628 = 666.

8267447628 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8267447623) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1295301 + ... + 1301667.

It is an arithmetic number, because the mean of its divisors is an integer number (243830720).

Almost surely, 2^8267447628 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 8267447628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11703874560).

8267447628 is an abundant number, since it is smaller than the sum of its proper divisors (15140301492).

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

8267447628 is a wasteful number, since it uses less digits than its factorization.

8267447628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7484 (or 7476 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The square root of 8267447628 is about 90925.5059265551. The cubic root of 8267447628 is about 2022.0434528256.

The spelling of 8267447628 in words is "eight billion, two hundred sixty-seven million, four hundred forty-seven thousand, six hundred twenty-eight".