8048430432 has 192 divisors, whose sum is σ = 27081008640. Its totient is φ = 2277877248.

The previous prime is 8048430431. The next prime is 8048430451. The reversal of 8048430432 is 2340348408.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8048430431) 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, 640918 + ... + 653354.

It is an arithmetic number, because the mean of its divisors is an integer number (141046920).

Almost surely, 2^8048430432 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 8048430432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13540504320).

8048430432 is an abundant number, since it is smaller than the sum of its proper divisors (19032578208).

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

8048430432 is a wasteful number, since it uses less digits than its factorization.

8048430432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12570 (or 12556 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 8048430432 is about 89713.0449377347. The cubic root of 8048430432 is about 2004.0277524931.

The spelling of 8048430432 in words is "eight billion, forty-eight million, four hundred thirty thousand, four hundred thirty-two".