5284802880 has 1008 divisors, whose sum is σ = 23398764480. Its totient is φ = 1128701952.

The previous prime is 5284802879. The next prime is 5284802891. The reversal of 5284802880 is 882084825.

5284802880 is a `hidden beast` number, since 528 + 48 + 0 + 2 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72394524 + ... + 72394596.

It is an arithmetic number, because the mean of its divisors is an integer number (23213060).

Almost surely, 2^5284802880 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 5284802880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11699382240).

5284802880 is an abundant number, since it is smaller than the sum of its proper divisors (18113961600).

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

5284802880 is a wasteful number, since it uses less digits than its factorization.

5284802880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 5284802880 is about 72696.6497164759. The cubic root of 5284802880 is about 1741.8453668075.

The spelling of 5284802880 in words is "five billion, two hundred eighty-four million, eight hundred two thousand, eight hundred eighty".