5628994560 has 660 divisors, whose sum is σ = 23549089212. Its totient is φ = 1281982464.

The previous prime is 5628994541. The next prime is 5628994561. The reversal of 5628994560 is 654998265.

It is a happy number.

5628994560 is a `hidden beast` number, since 5 + 628 + 9 + 9 + 4 + 5 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1467196416 + 4161798144 = 38304^2 + 64512^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5628994497 and 5628994506.

It is not an unprimeable number, because it can be changed into a prime (5628994561) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20321142 + ... + 20321418.

Almost surely, 2^5628994560 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 5628994560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11774544606).

5628994560 is an abundant number, since it is smaller than the sum of its proper divisors (17920094652).

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

5628994560 is a wasteful number, since it uses less digits than its factorization.

5628994560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The square root of 5628994560 is about 75026.6256738233. The cubic root of 5628994560 is about 1778.8675370376.

The spelling of 5628994560 in words is "five billion, six hundred twenty-eight million, nine hundred ninety-four thousand, five hundred sixty".