8382253952 has 64 divisors (see below), whose sum is σ = 17447508000. Its totient is φ = 4003743744.

The previous prime is 8382253951. The next prime is 8382253961. The reversal of 8382253952 is 2593522838.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 8382253897 and 8382253906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8382253951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3287174 + ... + 3289722.

Almost surely, 2^8382253952 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 8382253952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8723754000).

8382253952 is an abundant number, since it is smaller than the sum of its proper divisors (9065254048).

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

8382253952 is a wasteful number, since it uses less digits than its factorization.

8382253952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3703 (or 3691 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 47.

The square root of 8382253952 is about 91554.6500839799. The cubic root of 8382253952 is about 2031.3601949566.

The spelling of 8382253952 in words is "eight billion, three hundred eighty-two million, two hundred fifty-three thousand, nine hundred fifty-two".