2228624928 has 288 divisors, whose sum is σ = 7271462016. Its totient is φ = 667865088.

The previous prime is 2228624927. The next prime is 2228624939. The reversal of 2228624928 is 8294268222.

It is a tau number, because it is divible by the number of its divisors (288).

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 (2228624921) 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, 3040050 + ... + 3040782.

It is an arithmetic number, because the mean of its divisors is an integer number (25248132).

Almost surely, 2^2228624928 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 2228624928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3635731008).

2228624928 is an abundant number, since it is smaller than the sum of its proper divisors (5042837088).

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

2228624928 is a wasteful number, since it uses less digits than its factorization.

2228624928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 778 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 2228624928 is about 47208.3141829911. The cubic root of 2228624928 is about 1306.2079659314.

The spelling of 2228624928 in words is "two billion, two hundred twenty-eight million, six hundred twenty-four thousand, nine hundred twenty-eight".