8948280432 has 480 divisors, whose sum is σ = 31047179520. Its totient is φ = 2194698240.

The previous prime is 8948280431. The next prime is 8948280437. The reversal of 8948280432 is 2340828498.

8948280432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8948280431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42408807 + ... + 42409017.

It is an arithmetic number, because the mean of its divisors is an integer number (64681624).

Almost surely, 2^8948280432 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 8948280432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15523589760).

8948280432 is an abundant number, since it is smaller than the sum of its proper divisors (22098899088).

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

8948280432 is a wasteful number, since it uses less digits than its factorization.

8948280432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 8948280432 is about 94595.3510062730. The cubic root of 8948280432 is about 2076.0916833147.

The spelling of 8948280432 in words is "eight billion, nine hundred forty-eight million, two hundred eighty thousand, four hundred thirty-two".