28404866880 has 336 divisors, whose sum is σ = 105707718480. Its totient is φ = 6959333376.

The previous prime is 28404866849. The next prime is 28404866887. The reversal of 28404866880 is 8866840482.

28404866880 is a `hidden beast` number, since 2 + 84 + 0 + 486 + 6 + 8 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1700077824 + 26704789056 = 41232^2 + 163416^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28404866887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8572104 + ... + 8575416.

It is an arithmetic number, because the mean of its divisors is an integer number (314606305).

Almost surely, 2^28404866880 is an apocalyptic number.

28404866880 is a gapful number since it is divisible by the number (20) 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 28404866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52853859240).

28404866880 is an abundant number, since it is smaller than the sum of its proper divisors (77302851600).

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

28404866880 is a wasteful number, since it uses less digits than its factorization.

28404866880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3578 (or 3565 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 28404866880 in words is "twenty-eight billion, four hundred four million, eight hundred sixty-six thousand, eight hundred eighty".