8282621952 has 576 divisors, whose sum is σ = 28976875200. Its totient is φ = 2335703040.

The previous prime is 8282621933. The next prime is 8282622137. The reversal of 8282621952 is 2591262828.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 8282621898 and 8282621907.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93063124 + ... + 93063212.

It is an arithmetic number, because the mean of its divisors is an integer number (50307075).

Almost surely, 2^8282621952 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 8282621952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14488437600).

8282621952 is an abundant number, since it is smaller than the sum of its proper divisors (20694253248).

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

8282621952 is a wasteful number, since it uses less digits than its factorization.

8282621952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 122 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 8282621952 is about 91008.9113878416. The cubic root of 8282621952 is about 2023.2798033389.

The spelling of 8282621952 in words is "eight billion, two hundred eighty-two million, six hundred twenty-one thousand, nine hundred fifty-two".