5287417344 has 480 divisors, whose sum is σ = 17959788000. Its totient is φ = 1532805120.

The previous prime is 5287417339. The next prime is 5287417361. The reversal of 5287417344 is 4437147825.

5287417344 is a `hidden beast` number, since 528 + 74 + 17 + 3 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5287417344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48508362 + ... + 48508470.

It is an arithmetic number, because the mean of its divisors is an integer number (37416225).

Almost surely, 2^5287417344 is an apocalyptic number.

5287417344 is a gapful number since it is divisible by the number (54) 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 5287417344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8979894000).

5287417344 is an abundant number, since it is smaller than the sum of its proper divisors (12672370656).

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

5287417344 is a wasteful number, since it uses less digits than its factorization.

5287417344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 154 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 5287417344 is about 72714.6295046602. The cubic root of 5287417344 is about 1742.1325576666.

The spelling of 5287417344 in words is "five billion, two hundred eighty-seven million, four hundred seventeen thousand, three hundred forty-four".