5628648960 has 480 divisors, whose sum is σ = 22008903840. Its totient is φ = 1362493440.

The previous prime is 5628648877. The next prime is 5628648967. The reversal of 5628648960 is 698468265.

It is a happy number.

5628648960 is a `hidden beast` number, since 5 + 628 + 6 + 4 + 8 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×5628648960² = 63363378229818163200, which contains 22 as substring.

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 = 5628648897 and 5628648906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5628648967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8363184 + ... + 8363856.

It is an arithmetic number, because the mean of its divisors is an integer number (45851883).

Almost surely, 2^5628648960 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 5628648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11004451920).

5628648960 is an abundant number, since it is smaller than the sum of its proper divisors (16380254880).

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

5628648960 is a wasteful number, since it uses less digits than its factorization.

5628648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 5628648960 is about 75024.3224561209. The cubic root of 5628648960 is about 1778.8311309384.

The spelling of 5628648960 in words is "five billion, six hundred twenty-eight million, six hundred forty-eight thousand, nine hundred sixty".