27971328 has 216 divisors, whose sum is σ = 95691904. Its totient is φ = 7096320.

The previous prime is 27971311. The next prime is 27971329. The reversal of 27971328 is 82317972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27971329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 650475 + ... + 650517.

Almost surely, 2^27971328 is an apocalyptic number.

27971328 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 27971328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47845952).

27971328 is an abundant number, since it is smaller than the sum of its proper divisors (67720576).

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

27971328 is a wasteful number, since it uses less digits than its factorization.

27971328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 66 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 27971328 is about 5288.7926788635. The cubic root of 27971328 is about 303.5552128850. Note that the first 3 decimals are identical.

The spelling of 27971328 in words is "twenty-seven million, nine hundred seventy-one thousand, three hundred twenty-eight".