28327584384 has 320 divisors, whose sum is σ = 92639052000. Its totient is φ = 8521390080.

The previous prime is 28327584379. The next prime is 28327584421. The reversal of 28327584384 is 48348572382.

28327584384 is a `hidden beast` number, since 2 + 8 + 3 + 27 + 584 + 38 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28327584384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16992319 + ... + 16993985.

Almost surely, 2^28327584384 is an apocalyptic number.

28327584384 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 28327584384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46319526000).

28327584384 is an abundant number, since it is smaller than the sum of its proper divisors (64311467616).

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

28327584384 is a wasteful number, since it uses less digits than its factorization.

28327584384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1832 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The spelling of 28327584384 in words is "twenty-eight billion, three hundred twenty-seven million, five hundred eighty-four thousand, three hundred eighty-four".