27938531880 has 384 divisors, whose sum is σ = 109212364800. Its totient is φ = 6334142976.

The previous prime is 27938531869. The next prime is 27938531939. The reversal of 27938531880 is 8813583972.

27938531880 is a `hidden beast` number, since 2 + 79 + 38 + 531 + 8 + 8 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 6718762 + ... + 6722918.

It is an arithmetic number, because the mean of its divisors is an integer number (284407200).

Almost surely, 2^27938531880 is an apocalyptic number.

27938531880 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 27938531880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54606182400).

27938531880 is an abundant number, since it is smaller than the sum of its proper divisors (81273832920).

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

27938531880 is a wasteful number, since it uses less digits than its factorization.

27938531880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4318 (or 4301 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 27938531880 in words is "twenty-seven billion, nine hundred thirty-eight million, five hundred thirty-one thousand, eight hundred eighty".