28824482448384 has 352 divisors, whose sum is σ = 90663304544256. Its totient is φ = 7967459082240.

The previous prime is 28824482448317. The next prime is 28824482448389. The reversal of 28824482448384 is 48384428442882.

It is a super-2 number, since 2×28824482448384² (a number of 28 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 (28824482448389) 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, 3855082854 + ... + 3855090330.

Almost surely, 2^{28824482448384} is an apocalyptic number.

28824482448384 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 28824482448384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45331652272128).

28824482448384 is an abundant number, since it is smaller than the sum of its proper divisors (61838822095872).

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

28824482448384 is a wasteful number, since it uses less digits than its factorization.

28824482448384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13321 (or 13303 counting only the distinct ones).

The product of its digits is 805306368, while the sum is 69.

The spelling of 28824482448384 in words is "twenty-eight trillion, eight hundred twenty-four billion, four hundred eighty-two million, four hundred forty-eight thousand, three hundred eighty-four".