27731628 has 36 divisors (see below), whose sum is σ = 70951608. Its totient is φ = 9131520.

The previous prime is 27731597. The next prime is 27731633. The reversal of 27731628 is 82613772.

27731628 is a `hidden beast` number, since 27 + 7 + 3 + 1 + 628 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27731592 and 27731601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1653 + ... + 7628.

It is an arithmetic number, because the mean of its divisors is an integer number (1970878).

Almost surely, 2^27731628 is an apocalyptic number.

It is an amenable number.

27731628 is an abundant number, since it is smaller than the sum of its proper divisors (43219980).

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

27731628 is a wasteful number, since it uses less digits than its factorization.

27731628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9374 (or 9369 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 27731628 is about 5266.0827946397. The cubic root of 27731628 is about 302.6856197472.

The spelling of 27731628 in words is "twenty-seven million, seven hundred thirty-one thousand, six hundred twenty-eight".