8272595448 has 160 divisors (see below), whose sum is σ = 25814527200. Its totient is φ = 2457568512.

The previous prime is 8272595447. The next prime is 8272595473. The reversal of 8272595448 is 8445952728.

8272595448 is a `hidden beast` number, since 8 + 2 + 7 + 2 + 595 + 4 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 8272595394 and 8272595403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8272595447) 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 39 ways as a sum of consecutive naturals, for example, 227365 + ... + 261227.

It is an arithmetic number, because the mean of its divisors is an integer number (161340795).

Almost surely, 2^8272595448 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 8272595448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12907263600).

8272595448 is an abundant number, since it is smaller than the sum of its proper divisors (17541931752).

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

8272595448 is a wasteful number, since it uses less digits than its factorization.

8272595448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33923 (or 33910 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The square root of 8272595448 is about 90953.8094199468. The cubic root of 8272595448 is about 2022.4630485094.

The spelling of 8272595448 in words is "eight billion, two hundred seventy-two million, five hundred ninety-five thousand, four hundred forty-eight".