2828242928 has 80 divisors (see below), whose sum is σ = 6362926080. Its totient is φ = 1192796928.

The previous prime is 2828242919. The next prime is 2828242973. The reversal of 2828242928 is 8292428282.

2828242928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3411218 + ... + 3412046.

It is an arithmetic number, because the mean of its divisors is an integer number (79536576).

Almost surely, 2^2828242928 is an apocalyptic number.

2828242928 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 2828242928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181463040).

2828242928 is an abundant number, since it is smaller than the sum of its proper divisors (3534683152).

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

2828242928 is a wasteful number, since it uses less digits than its factorization.

2828242928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1288 counting only the distinct ones).

The product of its digits is 589824, while the sum is 47.

The square root of 2828242928 is about 53181.2272141213. The cubic root of 2828242928 is about 1414.1828622490.

The spelling of 2828242928 in words is "two billion, eight hundred twenty-eight million, two hundred forty-two thousand, nine hundred twenty-eight".