2228456328 has 128 divisors (see below), whose sum is σ = 6595584000. Its totient is φ = 613992960.

The previous prime is 2228456323. The next prime is 2228456333. The reversal of 2228456328 is 8236548222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2228456323) and next prime (2228456333).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2228456328.

It is not an unprimeable number, because it can be changed into a prime (2228456323) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1973268 + ... + 1974396.

It is an arithmetic number, because the mean of its divisors is an integer number (51528000).

Almost surely, 2^2228456328 is an apocalyptic number.

2228456328 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 2228456328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3297792000).

2228456328 is an abundant number, since it is smaller than the sum of its proper divisors (4367127672).

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

2228456328 is a wasteful number, since it uses less digits than its factorization.

2228456328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1551 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The square root of 2228456328 is about 47206.5284468155. The cubic root of 2228456328 is about 1306.1750260060.

The spelling of 2228456328 in words is "two billion, two hundred twenty-eight million, four hundred fifty-six thousand, three hundred twenty-eight".