27413728224 has 48 divisors (see below), whose sum is σ = 72132071760. Its totient is φ = 9116190720.

The previous prime is 27413728213. The next prime is 27413728249. The reversal of 27413728224 is 42282731472.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 298729 + ... + 379560.

It is an arithmetic number, because the mean of its divisors is an integer number (1502751495).

Almost surely, 2^27413728224 is an apocalyptic number.

27413728224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27413728224 is an abundant number, since it is smaller than the sum of its proper divisors (44718343536).

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

27413728224 is a wasteful number, since it uses less digits than its factorization.

27413728224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678723 (or 678715 counting only the distinct ones).

The product of its digits is 301056, while the sum is 42.

The spelling of 27413728224 in words is "twenty-seven billion, four hundred thirteen million, seven hundred twenty-eight thousand, two hundred twenty-four".