224028804384 has 432 divisors, whose sum is σ = 810231641856. Its totient is φ = 58062412800.

The previous prime is 224028804347. The next prime is 224028804407. The reversal of 224028804384 is 483408820422.

224028804384 is a `hidden beast` number, since 2 + 240 + 28 + 8 + 0 + 4 + 384 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 86462929 + ... + 86465519.

It is an arithmetic number, because the mean of its divisors is an integer number (1875536208).

Almost surely, 2^224028804384 is an apocalyptic number.

224028804384 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 224028804384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405115820928).

224028804384 is an abundant number, since it is smaller than the sum of its proper divisors (586202837472).

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

224028804384 is a wasteful number, since it uses less digits than its factorization.

224028804384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3189 (or 3171 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 224028804384 in words is "two hundred twenty-four billion, twenty-eight million, eight hundred four thousand, three hundred eighty-four".