27628146 has 96 divisors (see below), whose sum is σ = 74850048. Its totient is φ = 7171200.

The previous prime is 27628141. The next prime is 27628169. The reversal of 27628146 is 64182672.

27628146 is a `hidden beast` number, since 27 + 628 + 1 + 4 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 27628146.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27628141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165355 + ... + 165521.

It is an arithmetic number, because the mean of its divisors is an integer number (779688).

Almost surely, 2^27628146 is an apocalyptic number.

27628146 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 27628146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37425024).

27628146 is an abundant number, since it is smaller than the sum of its proper divisors (47221902).

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

27628146 is a wasteful number, since it uses less digits than its factorization.

27628146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 293 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 27628146 is about 5256.2482818071. The cubic root of 27628146 is about 302.3086548031.

The spelling of 27628146 in words is "twenty-seven million, six hundred twenty-eight thousand, one hundred forty-six".