2836825728 has 128 divisors (see below), whose sum is σ = 8360409600. Its totient is φ = 844999680.

The previous prime is 2836825721. The next prime is 2836825729. The reversal of 2836825728 is 8275286382.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2836825728² = 16095160422085459968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2836825721) by changing a digit.

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, 243525 + ... + 254907.

It is an arithmetic number, because the mean of its divisors is an integer number (65315700).

Almost surely, 2^2836825728 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 2836825728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4180204800).

2836825728 is an abundant number, since it is smaller than the sum of its proper divisors (5523583872).

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

2836825728 is a wasteful number, since it uses less digits than its factorization.

2836825728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11470 (or 11458 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 51.

The square root of 2836825728 is about 53261.8599750328. The cubic root of 2836825728 is about 1415.6119463946.

The spelling of 2836825728 in words is "two billion, eight hundred thirty-six million, eight hundred twenty-five thousand, seven hundred twenty-eight".