27628172 has 36 divisors (see below), whose sum is σ = 57245328. Its totient is φ = 11589600.

The previous prime is 27628171. The next prime is 27628177. The reversal of 27628172 is 27182672.

It is a super-3 number, since 3×27628172³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27628171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4097 + ... + 8487.

It is an arithmetic number, because the mean of its divisors is an integer number (1590148).

Almost surely, 2^27628172 is an apocalyptic number.

27628172 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27628172 is an abundant number, since it is smaller than the sum of its proper divisors (29617156).

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

27628172 is a wasteful number, since it uses less digits than its factorization.

27628172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4430 (or 4417 counting only the distinct ones).

The product of its digits is 18816, while the sum is 35.

The square root of 27628172 is about 5256.2507550535. The cubic root of 27628172 is about 302.3087496342.

The spelling of 27628172 in words is "twenty-seven million, six hundred twenty-eight thousand, one hundred seventy-two".