5286028800 has 240 divisors, whose sum is σ = 18807077520. Its totient is φ = 1301053440.

The previous prime is 5286028757. The next prime is 5286028837. The reversal of 5286028800 is 88206825.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 493906 + ... + 504494.

It is an arithmetic number, because the mean of its divisors is an integer number (78362823).

Almost surely, 2^5286028800 is an apocalyptic number.

5286028800 is a gapful number since it is divisible by the number (50) 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 5286028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9403538760).

5286028800 is an abundant number, since it is smaller than the sum of its proper divisors (13521048720).

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

5286028800 is a wasteful number, since it uses less digits than its factorization.

5286028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10633 (or 10612 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 5286028800 is about 72705.0809778794. The cubic root of 5286028800 is about 1741.9800421542.

The spelling of 5286028800 in words is "five billion, two hundred eighty-six million, twenty-eight thousand, eight hundred".