27978338304 has 390 divisors, whose sum is σ = 97281509094. Its totient is φ = 7989166080.

The previous prime is 27978338287. The next prime is 27978338321. The reversal of 27978338304 is 40383387972.

27978338304 is a `hidden beast` number, since 279 + 7 + 8 + 338 + 30 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (27978338287) and next prime (27978338321).

It can be written as a sum of positive squares in only one way, i.e., 26011238400 + 1967099904 = 161280^2 + 44352^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16256164 + ... + 16257884.

Almost surely, 2^27978338304 is an apocalyptic number.

27978338304 is a gapful number since it is divisible by the number (24) 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 27978338304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48640754547).

27978338304 is an abundant number, since it is smaller than the sum of its proper divisors (69303170790).

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

27978338304 is an equidigital number, since it uses as much as digits as its factorization.

27978338304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 27978338304 in words is "twenty-seven billion, nine hundred seventy-eight million, three hundred thirty-eight thousand, three hundred four".