27938047488 has 320 divisors, whose sum is σ = 85015392000. Its totient is φ = 8082063360.

The previous prime is 27938047477. The next prime is 27938047493. The reversal of 27938047488 is 88474083972.

It is a super-2 number, since 2×27938047488² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80051538 + ... + 80051886.

It is an arithmetic number, because the mean of its divisors is an integer number (265673100).

Almost surely, 2^27938047488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27938047488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42507696000).

27938047488 is an abundant number, since it is smaller than the sum of its proper divisors (57077344512).

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

27938047488 is a wasteful number, since it uses less digits than its factorization.

27938047488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 60.

The spelling of 27938047488 in words is "twenty-seven billion, nine hundred thirty-eight million, forty-seven thousand, four hundred eighty-eight".