2828722176 has 504 divisors, whose sum is σ = 10197434520. Its totient is φ = 780337152.

The previous prime is 2828722151. The next prime is 2828722217. The reversal of 2828722176 is 6712278282.

2828722176 is a `hidden beast` number, since 282 + 87 + 221 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (301056) is a multiple of the sum of its prime factors (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97542130 + ... + 97542158.

It is an arithmetic number, because the mean of its divisors is an integer number (20233005).

Almost surely, 2^2828722176 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 2828722176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5098717260).

2828722176 is an abundant number, since it is smaller than the sum of its proper divisors (7368712344).

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

2828722176 is an frugal number, since it uses more digits than its factorization.

2828722176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 41 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 2828722176 is about 53185.7328237564. The cubic root of 2828722176 is about 1414.2627358722.

The spelling of 2828722176 in words is "two billion, eight hundred twenty-eight million, seven hundred twenty-two thousand, one hundred seventy-six".