27868958208 has 480 divisors, whose sum is σ = 101469880512. Its totient is φ = 7166361600.

The previous prime is 27868958197. The next prime is 27868958213. The reversal of 27868958208 is 80285986872.

It is a super-3 number, since 3×27868958208³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 17191638 + ... + 17193258.

Almost surely, 2^27868958208 is an apocalyptic number.

27868958208 is a gapful number since it is divisible by the number (28) 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 27868958208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50734940256).

27868958208 is an abundant number, since it is smaller than the sum of its proper divisors (73600922304).

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

27868958208 is a wasteful number, since it uses less digits than its factorization.

27868958208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 27868958208 in words is "twenty-seven billion, eight hundred sixty-eight million, nine hundred fifty-eight thousand, two hundred eight".