28122118416 has 180 divisors, whose sum is σ = 92461123404. Its totient is φ = 7955136000.

The previous prime is 28122118373. The next prime is 28122118417. The reversal of 28122118416 is 61481122182.

28122118416 is a `hidden beast` number, since 2 + 8 + 1 + 221 + 18 + 416 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19349922816 + 8772195600 = 139104^2 + 93660^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28122118417) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 692926 + ... + 732386.

Almost surely, 2^28122118416 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 28122118416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46230561702).

28122118416 is an abundant number, since it is smaller than the sum of its proper divisors (64339004988).

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

28122118416 is a wasteful number, since it uses less digits than its factorization.

28122118416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39590 (or 39574 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The spelling of 28122118416 in words is "twenty-eight billion, one hundred twenty-two million, one hundred eighteen thousand, four hundred sixteen".