5528867760 has 640 divisors, whose sum is σ = 22181913600. Its totient is φ = 1254113280.

The previous prime is 5528867749. The next prime is 5528867809. The reversal of 5528867760 is 677688255.

5528867760 is a `hidden beast` number, since 552 + 8 + 86 + 7 + 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 = 5528867697 and 5528867706.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22941240 + ... + 22941480.

It is an arithmetic number, because the mean of its divisors is an integer number (34659240).

Almost surely, 2^5528867760 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 5528867760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11090956800).

5528867760 is an abundant number, since it is smaller than the sum of its proper divisors (16653045840).

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

5528867760 is a wasteful number, since it uses less digits than its factorization.

5528867760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The square root of 5528867760 is about 74356.3565540970. The cubic root of 5528867760 is about 1768.2570604843.

The spelling of 5528867760 in words is "five billion, five hundred twenty-eight million, eight hundred sixty-seven thousand, seven hundred sixty".