28890633609882 has 96 divisors (see below), whose sum is σ = 71959914224640. Its totient is φ = 8284856580000.

The previous prime is 28890633609833. The next prime is 28890633609889.

28890633609882 is a `hidden beast` number, since 2 + 8 + 8 + 9 + 0 + 6 + 3 + 3 + 609 + 8 + 8 + 2 = 666.

28890633609882 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 28890633609882.

It is not an unprimeable number, because it can be changed into a prime (28890633609889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 787744 + ... + 7642107.

It is an arithmetic number, because the mean of its divisors is an integer number (749582439840).

Almost surely, 2^{28890633609882} is an apocalyptic number.

28890633609882 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 28890633609882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35979957112320).

28890633609882 is an abundant number, since it is smaller than the sum of its proper divisors (43069280614758).

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

28890633609882 is a wasteful number, since it uses less digits than its factorization.

28890633609882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8430800 (or 8430797 counting only the distinct ones).

The product of its (nonzero) digits is 429981696, while the sum is 72.

The spelling of 28890633609882 in words is "twenty-eight trillion, eight hundred ninety billion, six hundred thirty-three million, six hundred nine thousand, eight hundred eighty-two".