28840436352 has 384 divisors, whose sum is σ = 108158319360. Its totient is φ = 7158398976.

The previous prime is 28840436351. The next prime is 28840436399. The reversal of 28840436352 is 25363404882.

28840436352 is a `hidden beast` number, since 2 + 8 + 8 + 4 + 0 + 4 + 3 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 28840436298 and 28840436307.

It is not an unprimeable number, because it can be changed into a prime (28840436351) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1774053 + ... + 1790235.

It is an arithmetic number, because the mean of its divisors is an integer number (281662290).

Almost surely, 2^28840436352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28840436352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54079159680).

28840436352 is an abundant number, since it is smaller than the sum of its proper divisors (79317883008).

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

28840436352 is a wasteful number, since it uses less digits than its factorization.

28840436352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16240 (or 16225 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 28840436352 in words is "twenty-eight billion, eight hundred forty million, four hundred thirty-six thousand, three hundred fifty-two".