8319290448 has 320 divisors, whose sum is σ = 26979860480. Its totient is φ = 2155507200.

The previous prime is 8319290423. The next prime is 8319290461. The reversal of 8319290448 is 8440929138.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 8319290397 and 8319290406.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 25133643 + ... + 25133973.

It is an arithmetic number, because the mean of its divisors is an integer number (84312064).

Almost surely, 2^8319290448 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 8319290448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13489930240).

8319290448 is an abundant number, since it is smaller than the sum of its proper divisors (18660570032).

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

8319290448 is a wasteful number, since it uses less digits than its factorization.

8319290448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 8319290448 is about 91210.1444358028. The cubic root of 8319290448 is about 2026.2612026950.

The spelling of 8319290448 in words is "eight billion, three hundred nineteen million, two hundred ninety thousand, four hundred forty-eight".