8428848709920 has 384 divisors, whose sum is σ = 28668245760000. Its totient is φ = 2076362416128.

The previous prime is 8428848709903. The next prime is 8428848709927. The reversal of 8428848709920 is 299078488248.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is not an unprimeable number, because it can be changed into a prime (8428848709927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42150331 + ... + 42349829.

It is an arithmetic number, because the mean of its divisors is an integer number (74656890000).

Almost surely, 2^{8428848709920} is an apocalyptic number.

8428848709920 is a gapful number since it is divisible by the number (80) 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 8428848709920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14334122880000).

8428848709920 is an abundant number, since it is smaller than the sum of its proper divisors (20239397050080).

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

8428848709920 is a wasteful number, since it uses less digits than its factorization.

8428848709920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199672 (or 199664 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 69.

The spelling of 8428848709920 in words is "eight trillion, four hundred twenty-eight billion, eight hundred forty-eight million, seven hundred nine thousand, nine hundred twenty".