27984891420 has 96 divisors (see below), whose sum is σ = 87448032000. Its totient is φ = 7429730112.

The previous prime is 27984891419. The next prime is 27984891427. The reversal of 27984891420 is 2419848972.

27984891420 is a `hidden beast` number, since 2 + 7 + 98 + 48 + 91 + 420 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27984891427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8431 + ... + 236729.

It is an arithmetic number, because the mean of its divisors is an integer number (910917000).

Almost surely, 2^27984891420 is an apocalyptic number.

27984891420 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 27984891420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43724016000).

27984891420 is an abundant number, since it is smaller than the sum of its proper divisors (59463140580).

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

27984891420 is a wasteful number, since it uses less digits than its factorization.

27984891420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228544 (or 228536 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 27984891420 in words is "twenty-seven billion, nine hundred eighty-four million, eight hundred ninety-one thousand, four hundred twenty".