8048432784 has 160 divisors (see below), whose sum is σ = 24841584640. Its totient is φ = 2196979200.

The previous prime is 8048432783. The next prime is 8048432801. The reversal of 8048432784 is 4872348408.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (8048432783) 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 31 ways as a sum of consecutive naturals, for example, 817974 + ... + 827754.

It is an arithmetic number, because the mean of its divisors is an integer number (155259904).

Almost surely, 2^8048432784 is an apocalyptic number.

8048432784 is a gapful number since it is divisible by the number (84) 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 8048432784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12420792320).

8048432784 is an abundant number, since it is smaller than the sum of its proper divisors (16793151856).

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

8048432784 is a wasteful number, since it uses less digits than its factorization.

8048432784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9909 (or 9903 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 48.

The square root of 8048432784 is about 89713.0580461953. The cubic root of 8048432784 is about 2004.0279477061.

The spelling of 8048432784 in words is "eight billion, forty-eight million, four hundred thirty-two thousand, seven hundred eighty-four".