8421163128 has 384 divisors, whose sum is σ = 28416960000. Its totient is φ = 2245501440.

The previous prime is 8421163099. The next prime is 8421163141. The reversal of 8421163128 is 8213611248.

8421163128 is a `hidden beast` number, since 8 + 4 + 2 + 11 + 631 + 2 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 8421163092 and 8421163101.

It is a congruent number.

It is an unprimeable number.

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, 61468276 + ... + 61468412.

It is an arithmetic number, because the mean of its divisors is an integer number (74002500).

Almost surely, 2^8421163128 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 8421163128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14208480000).

8421163128 is an abundant number, since it is smaller than the sum of its proper divisors (19995796872).

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

8421163128 is a wasteful number, since it uses less digits than its factorization.

8421163128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 299 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 8421163128 is about 91766.8955996660. The cubic root of 8421163128 is about 2034.4984348275.

The spelling of 8421163128 in words is "eight billion, four hundred twenty-one million, one hundred sixty-three thousand, one hundred twenty-eight".