27717697728 has 336 divisors, whose sum is σ = 93941213184. Its totient is φ = 7649095680.

The previous prime is 27717697723. The next prime is 27717697771. The reversal of 27717697728 is 82779671772.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is not an unprimeable number, because it can be changed into a prime (27717697723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17687601 + ... + 17689167.

It is an arithmetic number, because the mean of its divisors is an integer number (279586944).

Almost surely, 2^27717697728 is an apocalyptic number.

27717697728 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 27717697728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46970606592).

27717697728 is an abundant number, since it is smaller than the sum of its proper divisors (66223515456).

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

27717697728 is a wasteful number, since it uses less digits than its factorization.

27717697728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1727 counting only the distinct ones).

The product of its digits is 29042496, while the sum is 63.

The spelling of 27717697728 in words is "twenty-seven billion, seven hundred seventeen million, six hundred ninety-seven thousand, seven hundred twenty-eight".