28122832128 has 144 divisors (see below), whose sum is σ = 79523700480. Its totient is φ = 8806146048.

The previous prime is 28122832043. The next prime is 28122832163. The reversal of 28122832128 is 82123822182.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 807001 + ... + 841127.

It is an arithmetic number, because the mean of its divisors is an integer number (552247920).

Almost surely, 2^28122832128 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 28122832128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39761850240).

28122832128 is an abundant number, since it is smaller than the sum of its proper divisors (51400868352).

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

28122832128 is a wasteful number, since it uses less digits than its factorization.

28122832128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34212 (or 34198 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The spelling of 28122832128 in words is "twenty-eight billion, one hundred twenty-two million, eight hundred thirty-two thousand, one hundred twenty-eight".