2428222728 has 128 divisors (see below), whose sum is σ = 6358302720. Its totient is φ = 772208640.

The previous prime is 2428222697. The next prime is 2428222807. The reversal of 2428222728 is 8272228242.

It is a Cunningham number, because it is equal to 49277²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12713113 + ... + 12713303.

It is an arithmetic number, because the mean of its divisors is an integer number (49674240).

Almost surely, 2^2428222728 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 2428222728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3179151360).

2428222728 is an abundant number, since it is smaller than the sum of its proper divisors (3930079992).

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

2428222728 is a wasteful number, since it uses less digits than its factorization.

2428222728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 463 counting only the distinct ones).

The product of its digits is 114688, while the sum is 39.

The square root of 2428222728 is about 49276.9999898533. Note that the first 4 decimals coincide. The cubic root of 2428222728 is about 1344.0935796165.

The spelling of 2428222728 in words is "two billion, four hundred twenty-eight million, two hundred twenty-two thousand, seven hundred twenty-eight".