28224336384 has 320 divisors, whose sum is σ = 87617249280. Its totient is φ = 8959610880.

The previous prime is 28224336383. The next prime is 28224336433. The reversal of 28224336384 is 48363342282.

28224336384 is a `hidden beast` number, since 2 + 8 + 2 + 2 + 4 + 3 + 3 + 638 + 4 = 666.

It is a super-2 number, since 2×28224336384² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (28224336383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28711957 + ... + 28712939.

It is an arithmetic number, because the mean of its divisors is an integer number (273803904).

Almost surely, 2^28224336384 is an apocalyptic number.

28224336384 is a gapful number since it is divisible by the number (24) 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 28224336384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43808624640).

28224336384 is an abundant number, since it is smaller than the sum of its proper divisors (59392912896).

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

28224336384 is an equidigital number, since it uses as much as digits as its factorization.

28224336384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1086 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The spelling of 28224336384 in words is "twenty-eight billion, two hundred twenty-four million, three hundred thirty-six thousand, three hundred eighty-four".