2824268328 has 192 divisors, whose sum is σ = 8963136000. Its totient is φ = 786779136.

The previous prime is 2824268323. The next prime is 2824268351. The reversal of 2824268328 is 8238624282.

2824268328 is a `hidden beast` number, since 28 + 242 + 68 + 328 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2824268323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3543226 + ... + 3544022.

It is an arithmetic number, because the mean of its divisors is an integer number (46683000).

Almost surely, 2^2824268328 is an apocalyptic number.

2824268328 is a gapful number since it is divisible by the number (28) 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 2824268328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481568000).

2824268328 is an abundant number, since it is smaller than the sum of its proper divisors (6138867672).

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

2824268328 is a wasteful number, since it uses less digits than its factorization.

2824268328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 977 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 2824268328 is about 53143.8456267516. The cubic root of 2824268328 is about 1413.5200895868.

The spelling of 2824268328 in words is "two billion, eight hundred twenty-four million, two hundred sixty-eight thousand, three hundred twenty-eight".