27413987328 has 600 divisors, whose sum is σ = 101245311552. Its totient is φ = 7198212096.

The previous prime is 27413987311. The next prime is 27413987333. The reversal of 27413987328 is 82378931472.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (4064256) is a multiple of the sum of its prime divisors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 120766351 + ... + 120766577.

Almost surely, 2^27413987328 is an apocalyptic number.

27413987328 is a gapful number since it is divisible by the number (28) 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 27413987328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50622655776).

27413987328 is an abundant number, since it is smaller than the sum of its proper divisors (73831324224).

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

27413987328 is an equidigital number, since it uses as much as digits as its factorization.

27413987328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 252 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 27413987328 in words is "twenty-seven billion, four hundred thirteen million, nine hundred eighty-seven thousand, three hundred twenty-eight".