5628389760 has 1024 divisors, whose sum is σ = 25067520000. Its totient is φ = 1164533760.

The previous prime is 5628389671. The next prime is 5628389761. The reversal of 5628389760 is 679838265.

It is a happy number.

5628389760 is a `hidden beast` number, since 5 + 628 + 3 + 8 + 9 + 7 + 6 + 0 = 666.

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 = 5628389697 and 5628389706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5628389761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 71245401 + ... + 71245479.

It is an arithmetic number, because the mean of its divisors is an integer number (24480000).

Almost surely, 2^5628389760 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 5628389760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12533760000).

5628389760 is an abundant number, since it is smaller than the sum of its proper divisors (19439130240).

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

5628389760 is a wasteful number, since it uses less digits than its factorization.

5628389760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 5628389760 is about 75022.5949964409. The cubic root of 5628389760 is about 1778.8038253861.

The spelling of 5628389760 in words is "five billion, six hundred twenty-eight million, three hundred eighty-nine thousand, seven hundred sixty".