27248480928 has 72 divisors (see below), whose sum is σ = 77602880628. Its totient is φ = 9069345792.

The previous prime is 27248480879. The next prime is 27248480951. The reversal of 27248480928 is 82908484272.

27248480928 is a `hidden beast` number, since 2 + 72 + 4 + 8 + 480 + 92 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17325930384 + 9922550544 = 131628^2 + 99612^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125100 + ... + 264852.

Almost surely, 2^27248480928 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 27248480928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38801440314).

27248480928 is an abundant number, since it is smaller than the sum of its proper divisors (50354399700).

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

27248480928 is a wasteful number, since it uses less digits than its factorization.

27248480928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140446 (or 140435 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 27248480928 in words is "twenty-seven billion, two hundred forty-eight million, four hundred eighty thousand, nine hundred twenty-eight".