27921632 has 48 divisors (see below), whose sum is σ = 58423680. Its totient is φ = 13107072.

The previous prime is 27921623. The next prime is 27921671. The reversal of 27921632 is 23612972.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 43103 + ... + 43745.

It is an arithmetic number, because the mean of its divisors is an integer number (1217160).

Almost surely, 2^27921632 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 27921632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29211840).

27921632 is an abundant number, since it is smaller than the sum of its proper divisors (30502048).

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

27921632 is a wasteful number, since it uses less digits than its factorization.

27921632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 727 counting only the distinct ones).

The product of its digits is 9072, while the sum is 32.

The square root of 27921632 is about 5284.0923534700. The cubic root of 27921632 is about 303.3753331799.

The spelling of 27921632 in words is "twenty-seven million, nine hundred twenty-one thousand, six hundred thirty-two".