8213988384 has 240 divisors, whose sum is σ = 28174608000. Its totient is φ = 2346599808.

The previous prime is 8213988383. The next prime is 8213988427. The reversal of 8213988384 is 4838893128.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 8213988384.

It is not an unprimeable number, because it can be changed into a prime (8213988383) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 884437 + ... + 893675.

It is an arithmetic number, because the mean of its divisors is an integer number (117394200).

Almost surely, 2^8213988384 is an apocalyptic number.

8213988384 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 8213988384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14087304000).

8213988384 is an abundant number, since it is smaller than the sum of its proper divisors (19960619616).

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

8213988384 is an equidigital number, since it uses as much as digits as its factorization.

8213988384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9282 (or 9251 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 8213988384 is about 90631.0563990071. The cubic root of 8213988384 is about 2017.6756901213.

The spelling of 8213988384 in words is "eight billion, two hundred thirteen million, nine hundred eighty-eight thousand, three hundred eighty-four".