27728600328 has 192 divisors, whose sum is σ = 91270670400. Its totient is φ = 7488714240.

The previous prime is 27728600321. The next prime is 27728600351. The reversal of 27728600328 is 82300682772.

27728600328 is a `hidden beast` number, since 2 + 7 + 7 + 2 + 8 + 600 + 32 + 8 = 666.

It is a super-2 number, since 2×27728600328² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27728600321) 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, 252151 + ... + 345017.

It is an arithmetic number, because the mean of its divisors is an integer number (475368075).

Almost surely, 2^27728600328 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 27728600328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45635335200).

27728600328 is an abundant number, since it is smaller than the sum of its proper divisors (63542070072).

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

27728600328 is a wasteful number, since it uses less digits than its factorization.

27728600328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92932 (or 92925 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 27728600328 in words is "twenty-seven billion, seven hundred twenty-eight million, six hundred thousand, three hundred twenty-eight".