27685601328 has 480 divisors, whose sum is σ = 101188880640. Its totient is φ = 6409912320.

The previous prime is 27685601291. The next prime is 27685601369. The reversal of 27685601328 is 82310658672.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8355000 + ... + 8358312.

It is an arithmetic number, because the mean of its divisors is an integer number (210810168).

Almost surely, 2^27685601328 is an apocalyptic number.

27685601328 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 27685601328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50594440320).

27685601328 is an abundant number, since it is smaller than the sum of its proper divisors (73503279312).

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

27685601328 is a wasteful number, since it uses less digits than its factorization.

27685601328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3385 (or 3372 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 27685601328 in words is "twenty-seven billion, six hundred eighty-five million, six hundred one thousand, three hundred twenty-eight".