5228084736 has 640 divisors, whose sum is σ = 19327334400. Its totient is φ = 1379524608.

The previous prime is 5228084723. The next prime is 5228084753. The reversal of 5228084736 is 6374808225.

5228084736 is a `hidden beast` number, since 522 + 80 + 8 + 47 + 3 + 6 = 666.

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 5228084691 and 5228084700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 180278770 + ... + 180278798.

It is an arithmetic number, because the mean of its divisors is an integer number (30198960).

Almost surely, 2^5228084736 is an apocalyptic number.

5228084736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5228084736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9663667200).

5228084736 is an abundant number, since it is smaller than the sum of its proper divisors (14099249664).

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

5228084736 is an frugal number, since it uses more digits than its factorization.

5228084736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 5228084736 is about 72305.4958906998. The cubic root of 5228084736 is about 1735.5915990884.

The spelling of 5228084736 in words is "five billion, two hundred twenty-eight million, eighty-four thousand, seven hundred thirty-six".