27988623360 has 768 divisors, whose sum is σ = 108777614400. Its totient is φ = 6879707136.

The previous prime is 27988623317. The next prime is 27988623361. The reversal of 27988623360 is 6332688972.

It is a happy number.

27988623360 is a `hidden beast` number, since 2 + 7 + 9 + 8 + 8 + 623 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 27988623297 and 27988623306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27988623361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 756449262 + ... + 756449298.

Almost surely, 2^27988623360 is an apocalyptic number.

27988623360 is a gapful number since it is divisible by the number (20) 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 27988623360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54388807200).

27988623360 is an abundant number, since it is smaller than the sum of its proper divisors (80788991040).

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

27988623360 is an frugal number, since it uses more digits than its factorization.

27988623360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 27988623360 in words is "twenty-seven billion, nine hundred eighty-eight million, six hundred twenty-three thousand, three hundred sixty".