27848689440 has 384 divisors, whose sum is σ = 103407881472. Its totient is φ = 6210846720.

The previous prime is 27848689423. The next prime is 27848689441. The reversal of 27848689440 is 4498684872.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (27848689441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29720652 + ... + 29721588.

It is an arithmetic number, because the mean of its divisors is an integer number (269291358).

Almost surely, 2^27848689440 is an apocalyptic number.

27848689440 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 27848689440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51703940736).

27848689440 is an abundant number, since it is smaller than the sum of its proper divisors (75559192032).

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

27848689440 is a wasteful number, since it uses less digits than its factorization.

27848689440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 60.

The spelling of 27848689440 in words is "twenty-seven billion, eight hundred forty-eight million, six hundred eighty-nine thousand, four hundred forty".