27987793920 has 480 divisors, whose sum is σ = 102888545760. Its totient is φ = 7272529920.

The previous prime is 27987793909. The next prime is 27987793921. The reversal of 27987793920 is 2939778972.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27987793921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34006629 + ... + 34007451.

It is an arithmetic number, because the mean of its divisors is an integer number (214351137).

Almost surely, 2^27987793920 is an apocalyptic number.

27987793920 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 27987793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51444272880).

27987793920 is an abundant number, since it is smaller than the sum of its proper divisors (74900751840).

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

27987793920 is an equidigital number, since it uses as much as digits as its factorization.

27987793920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 24004512, while the sum is 63.

The spelling of 27987793920 in words is "twenty-seven billion, nine hundred eighty-seven million, seven hundred ninety-three thousand, nine hundred twenty".