8913288384 has 448 divisors, whose sum is σ = 35189038080. Its totient is φ = 2136637440.

The previous prime is 8913288367. The next prime is 8913288431. The reversal of 8913288384 is 4838823198.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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 8913288384.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1727152 + ... + 1732304.

It is an arithmetic number, because the mean of its divisors is an integer number (78546960).

Almost surely, 2^8913288384 is an apocalyptic number.

8913288384 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 8913288384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17594519040).

8913288384 is an abundant number, since it is smaller than the sum of its proper divisors (26275749696).

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

8913288384 is a wasteful number, since it uses less digits than its factorization.

8913288384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5205 (or 5189 counting only the distinct ones).

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

The square root of 8913288384 is about 94410.2133458028. The cubic root of 8913288384 is about 2073.3819783208.

The spelling of 8913288384 in words is "eight billion, nine hundred thirteen million, two hundred eighty-eight thousand, three hundred eighty-four".