28628828316 has 144 divisors (see below), whose sum is σ = 80688037248. Its totient is φ = 8485027200.

The previous prime is 28628828287. The next prime is 28628828323. The reversal of 28628828316 is 61382882682.

28628828316 is a `hidden beast` number, since 2 + 8 + 628 + 8 + 2 + 8 + 3 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7280871 + ... + 7284801.

It is an arithmetic number, because the mean of its divisors is an integer number (560333592).

Almost surely, 2^28628828316 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 28628828316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40344018624).

28628828316 is an abundant number, since it is smaller than the sum of its proper divisors (52059208932).

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

28628828316 is a wasteful number, since it uses less digits than its factorization.

28628828316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4352 (or 4347 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The spelling of 28628828316 in words is "twenty-eight billion, six hundred twenty-eight million, eight hundred twenty-eight thousand, three hundred sixteen".