2928268224 has 378 divisors, whose sum is σ = 10400705640. Its totient is φ = 785240064.

The previous prime is 2928268193. The next prime is 2928268229. The reversal of 2928268224 is 4228628292.

2928268224 is a `hidden beast` number, since 292 + 82 + 68 + 224 = 666.

It is a super-2 number, since 2×2928268224² = 17149509583376228352, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2928268224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2928268229) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 8156557 + ... + 8156915.

Almost surely, 2^2928268224 is an apocalyptic number.

2928268224 is a gapful number since it is divisible by the number (24) 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 2928268224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5200352820).

2928268224 is an abundant number, since it is smaller than the sum of its proper divisors (7472437416).

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

2928268224 is a wasteful number, since it uses less digits than its factorization.

2928268224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 388 counting only the distinct ones).

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

The square root of 2928268224 is about 54113.4754381938. The cubic root of 2928268224 is about 1430.6617023381.

The spelling of 2928268224 in words is "two billion, nine hundred twenty-eight million, two hundred sixty-eight thousand, two hundred twenty-four".