27728601552 has 60 divisors (see below), whose sum is σ = 77613587844. Its totient is φ = 9241436160.

The previous prime is 27728601529. The next prime is 27728601581. The reversal of 27728601552 is 25510682772.

27728601552 is a `hidden beast` number, since 2 + 77 + 28 + 6 + 0 + 1 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15746234256 + 11982367296 = 125484^2 + 109464^2 .

It is a junction number, because it is equal to n+sod(n) for n = 27728601498 and 27728601507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1352208 + ... + 1372560.

Almost surely, 2^27728601552 is an apocalyptic number.

It is an amenable number.

27728601552 is an abundant number, since it is smaller than the sum of its proper divisors (49884986292).

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

27728601552 is a wasteful number, since it uses less digits than its factorization.

27728601552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29828 (or 29819 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 27728601552 in words is "twenty-seven billion, seven hundred twenty-eight million, six hundred one thousand, five hundred fifty-two".