5628006720 has 504 divisors, whose sum is σ = 23714964000. Its totient is φ = 1218115584.

The previous prime is 5628006707. The next prime is 5628006731. The reversal of 5628006720 is 276008265.

5628006720 is a `hidden beast` number, since 5 + 628 + 0 + 0 + 6 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2680231 + ... + 2682329.

It is an arithmetic number, because the mean of its divisors is an integer number (47053500).

Almost surely, 2^5628006720 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 5628006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11857482000).

5628006720 is an abundant number, since it is smaller than the sum of its proper divisors (18086957280).

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

5628006720 is a wasteful number, since it uses less digits than its factorization.

5628006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5628006720 is about 75020.0421220889. The cubic root of 5628006720 is about 1778.7634723127.

The spelling of 5628006720 in words is "five billion, six hundred twenty-eight million, six thousand, seven hundred twenty".