28675422339984 has 1440 divisors, whose sum is σ = 104136915168000. Its totient is φ = 7312832077824.

The previous prime is 28675422339929. The next prime is 28675422340007. The reversal of 28675422339984 is 48993322457682.

28675422339984 is a `hidden beast` number, since 2 + 8 + 6 + 7 + 5 + 4 + 223 + 399 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 65319868437 + ... + 65319868875.

It is an arithmetic number, because the mean of its divisors is an integer number (72317302200).

Almost surely, 2^{28675422339984} is an apocalyptic number.

28675422339984 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 28675422339984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52068457584000).

28675422339984 is an abundant number, since it is smaller than the sum of its proper divisors (75461492828016).

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

28675422339984 is a wasteful number, since it uses less digits than its factorization.

28675422339984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 869 counting only the distinct ones).

The product of its digits is 1254113280, while the sum is 72.

The spelling of 28675422339984 in words is "twenty-eight trillion, six hundred seventy-five billion, four hundred twenty-two million, three hundred thirty-nine thousand, nine hundred eighty-four".