28008832489920 has 672 divisors, whose sum is σ = 104436379270080. Its totient is φ = 6862342717440.

The previous prime is 28008832489919. The next prime is 28008832489933. The reversal of 28008832489920 is 2998423880082.

28008832489920 is a `hidden beast` number, since 28 + 0 + 0 + 88 + 32 + 489 + 9 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 6250574080 + ... + 6250578560.

Almost surely, 2^{28008832489920} is an apocalyptic number.

28008832489920 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 28008832489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52218189635040).

28008832489920 is an abundant number, since it is smaller than the sum of its proper divisors (76427546780160).

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

28008832489920 is a wasteful number, since it uses less digits than its factorization.

28008832489920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7533 (or 7520 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 28008832489920 in words is "twenty-eight trillion, eight billion, eight hundred thirty-two million, four hundred eighty-nine thousand, nine hundred twenty".