27891972 has 48 divisors (see below), whose sum is σ = 74088000. Its totient is φ = 9069120.

The previous prime is 27891949. The next prime is 27891973. The reversal of 27891972 is 27919872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27891973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1279 + ... + 7577.

It is an arithmetic number, because the mean of its divisors is an integer number (1543500).

Almost surely, 2^27891972 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 27891972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37044000).

27891972 is an abundant number, since it is smaller than the sum of its proper divisors (46196028).

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

27891972 is a wasteful number, since it uses less digits than its factorization.

27891972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6353 (or 6345 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 27891972 is about 5281.2850708895. The cubic root of 27891972 is about 303.2678740795.

It can be divided in two parts, 2789 and 1972, that added together give a square (4761 = 69²).

The spelling of 27891972 in words is "twenty-seven million, eight hundred ninety-one thousand, nine hundred seventy-two".