2829929856 has 128 divisors (see below), whose sum is σ = 8143027200. Its totient is φ = 865609728.

The previous prime is 2829929833. The next prime is 2829929887. The reversal of 2829929856 is 6589299282.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2829929856.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 891985 + ... + 895151.

It is an arithmetic number, because the mean of its divisors is an integer number (63617400).

Almost surely, 2^2829929856 is an apocalyptic number.

2829929856 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2829929856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071513600).

2829929856 is an abundant number, since it is smaller than the sum of its proper divisors (5313097344).

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

2829929856 is a wasteful number, since it uses less digits than its factorization.

2829929856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376 (or 3364 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 60.

The square root of 2829929856 is about 53197.0850329226. The cubic root of 2829929856 is about 1414.4639732399.

The spelling of 2829929856 in words is "two billion, eight hundred twenty-nine million, nine hundred twenty-nine thousand, eight hundred fifty-six".