5287679200 has 72 divisors (see below), whose sum is σ = 12957061320. Its totient is φ = 2107123200.

The previous prime is 5287679191. The next prime is 5287679203. The reversal of 5287679200 is 29767825.

It is a super-2 number, since 2×5287679200² = 55919102644225280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5287679203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202915 + ... + 227485.

It is an arithmetic number, because the mean of its divisors is an integer number (179959185).

Almost surely, 2^5287679200 is an apocalyptic number.

5287679200 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 5287679200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6478530660).

5287679200 is an abundant number, since it is smaller than the sum of its proper divisors (7669382120).

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

5287679200 is a wasteful number, since it uses less digits than its factorization.

5287679200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24860 (or 24847 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The square root of 5287679200 is about 72716.4300553871. The cubic root of 5287679200 is about 1742.1613165295.

The spelling of 5287679200 in words is "five billion, two hundred eighty-seven million, six hundred seventy-nine thousand, two hundred".