8424829248 has 168 divisors, whose sum is σ = 24689507136. Its totient is φ = 2533386240.

The previous prime is 8424829241. The next prime is 8424829249. The reversal of 8424829248 is 8429284248.

It is a self number, because there is not a number n which added to its sum of digits gives 8424829248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8424829241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3181461 + ... + 3184107.

It is an arithmetic number, because the mean of its divisors is an integer number (146961352).

Almost surely, 2^8424829248 is an apocalyptic number.

8424829248 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8424829248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12344753568).

8424829248 is an abundant number, since it is smaller than the sum of its proper divisors (16264677888).

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

8424829248 is a wasteful number, since it uses less digits than its factorization.

8424829248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2821 (or 2800 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 51.

The square root of 8424829248 is about 91786.8686033029. The cubic root of 8424829248 is about 2034.7936289385.

The spelling of 8424829248 in words is "eight billion, four hundred twenty-four million, eight hundred twenty-nine thousand, two hundred forty-eight".