2827106072 has 64 divisors (see below), whose sum is σ = 6197083200. Its totient is φ = 1184002560.

The previous prime is 2827106063. The next prime is 2827106123. The reversal of 2827106072 is 2706017282.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 796622 + ... + 800162.

It is an arithmetic number, because the mean of its divisors is an integer number (96829425).

Almost surely, 2^2827106072 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 2827106072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3098541600).

2827106072 is an abundant number, since it is smaller than the sum of its proper divisors (3369977128).

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

2827106072 is a wasteful number, since it uses less digits than its factorization.

2827106072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3876 (or 3872 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 2827106072 is about 53170.5376312860. The cubic root of 2827106072 is about 1413.9933526279.

The spelling of 2827106072 in words is "two billion, eight hundred twenty-seven million, one hundred six thousand, seventy-two".