44131068828 has 288 divisors, whose sum is σ = 142847857152. Its totient is φ = 11155622400.

The previous prime is 44131068809. The next prime is 44131068833. The reversal of 44131068828 is 82886013144.

44131068828 is a `hidden beast` number, since 441 + 3 + 106 + 88 + 28 = 666.

44131068828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19244850 + ... + 19247142.

It is an arithmetic number, because the mean of its divisors is an integer number (495999504).

Almost surely, 2^44131068828 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 44131068828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71423928576).

44131068828 is an abundant number, since it is smaller than the sum of its proper divisors (98716788324).

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

44131068828 is a wasteful number, since it uses less digits than its factorization.

44131068828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 44131068828 in words is "forty-four billion, one hundred thirty-one million, sixty-eight thousand, eight hundred twenty-eight".