5682628224 has 640 divisors, whose sum is σ = 21978633600. Its totient is φ = 1415356416.

The previous prime is 5682628223. The next prime is 5682628307. The reversal of 5682628224 is 4228262865.

5682628224 is a `hidden beast` number, since 568 + 2 + 6 + 2 + 82 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5682628224.

It is not an unprimeable number, because it can be changed into a prime (5682628223) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17926114 + ... + 17926430.

It is an arithmetic number, because the mean of its divisors is an integer number (34341615).

Almost surely, 2^5682628224 is an apocalyptic number.

5682628224 is a gapful number since it is divisible by the number (54) 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 5682628224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10989316800).

5682628224 is an abundant number, since it is smaller than the sum of its proper divisors (16296005376).

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

5682628224 is a wasteful number, since it uses less digits than its factorization.

5682628224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 361 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 5682628224 is about 75383.2091649062. The cubic root of 5682628224 is about 1784.4994345289.

The spelling of 5682628224 in words is "five billion, six hundred eighty-two million, six hundred twenty-eight thousand, two hundred twenty-four".