27749046528 has 216 divisors, whose sum is σ = 95457334560. Its totient is φ = 7928202240.

The previous prime is 27749046497. The next prime is 27749046529. The reversal of 27749046528 is 82564094772.

27749046528 is a `hidden beast` number, since 2 + 7 + 74 + 9 + 0 + 46 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (27749046529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297723 + ... + 379653.

Almost surely, 2^27749046528 is an apocalyptic number.

27749046528 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 27749046528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47728667280).

27749046528 is an abundant number, since it is smaller than the sum of its proper divisors (67708288032).

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

27749046528 is an equidigital number, since it uses as much as digits as its factorization.

27749046528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81970 (or 81943 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 27749046528 in words is "twenty-seven billion, seven hundred forty-nine million, forty-six thousand, five hundred twenty-eight".