27617729328 has 160 divisors (see below), whose sum is σ = 91176465920. Its totient is φ = 7840385280.

The previous prime is 27617729327. The next prime is 27617729333. The reversal of 27617729328 is 82392771672.

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.

It is not an unprimeable number, because it can be changed into a prime (27617729327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 445683 + ... + 503853.

It is an arithmetic number, because the mean of its divisors is an integer number (569852912).

Almost surely, 2^27617729328 is an apocalyptic number.

27617729328 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 27617729328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45588232960).

27617729328 is an abundant number, since it is smaller than the sum of its proper divisors (63558736592).

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

27617729328 is a wasteful number, since it uses less digits than its factorization.

27617729328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58352 (or 58340 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The spelling of 27617729328 in words is "twenty-seven billion, six hundred seventeen million, seven hundred twenty-nine thousand, three hundred twenty-eight".