27882972 has 54 divisors (see below), whose sum is σ = 76337352. Its totient is φ = 8577504.

The previous prime is 27882961. The next prime is 27882973. The reversal of 27882972 is 27928872.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27882973) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3793 + ... + 8375.

Almost surely, 2^27882972 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 27882972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38168676).

27882972 is an abundant number, since it is smaller than the sum of its proper divisors (48454380).

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

27882972 is a wasteful number, since it uses less digits than its factorization.

27882972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4619 (or 4601 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 27882972 is about 5280.4329367960. The cubic root of 27882972 is about 303.2352517358.

The spelling of 27882972 in words is "twenty-seven million, eight hundred eighty-two thousand, nine hundred seventy-two".