5509801728 has 432 divisors, whose sum is σ = 17838527616. Its totient is φ = 1627914240.

The previous prime is 5509801723. The next prime is 5509801729. The reversal of 5509801728 is 8271089055.

It is a happy number.

5509801728 is a `hidden beast` number, since 550 + 9 + 80 + 17 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5509801723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75476700 + ... + 75476772.

It is an arithmetic number, because the mean of its divisors is an integer number (41292888).

Almost surely, 2^5509801728 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 5509801728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8919263808).

5509801728 is an abundant number, since it is smaller than the sum of its proper divisors (12328725888).

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

5509801728 is a wasteful number, since it uses less digits than its factorization.

5509801728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 5509801728 is about 74228.0386915888. The cubic root of 5509801728 is about 1766.2221367067. Note that the first 3 decimals are identical.

The spelling of 5509801728 in words is "five billion, five hundred nine million, eight hundred one thousand, seven hundred twenty-eight".