27428632 has 48 divisors (see below), whose sum is σ = 65274120. Its totient is φ = 10684800.

The previous prime is 27428617. The next prime is 27428657. The reversal of 27428632 is 23682472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1132 + ... + 7492.

Almost surely, 2^27428632 is an apocalyptic number.

27428632 is a gapful number since it is divisible by the number (22) 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 27428632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32637060).

27428632 is an abundant number, since it is smaller than the sum of its proper divisors (37845488).

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

27428632 is a wasteful number, since it uses less digits than its factorization.

27428632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6392 (or 6381 counting only the distinct ones).

The product of its digits is 32256, while the sum is 34.

The square root of 27428632 is about 5237.2351484347. The cubic root of 27428632 is about 301.5791984471.

The spelling of 27428632 in words is "twenty-seven million, four hundred twenty-eight thousand, six hundred thirty-two".