27853728 has 96 divisors (see below), whose sum is σ = 84389760. Its totient is φ = 7879680.

The previous prime is 27853703. The next prime is 27853729. The reversal of 27853728 is 82735872.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 27853728.

It is not an unprimeable number, because it can be changed into a prime (27853729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121518 + ... + 121746.

It is an arithmetic number, because the mean of its divisors is an integer number (879060).

Almost surely, 2^27853728 is an apocalyptic number.

27853728 is a gapful number since it is divisible by the number (28) 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 27853728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42194880).

27853728 is an abundant number, since it is smaller than the sum of its proper divisors (56536032).

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

27853728 is a wasteful number, since it uses less digits than its factorization.

27853728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 422 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 27853728 is about 5277.6631192224. The cubic root of 27853728 is about 303.1292023791.

The spelling of 27853728 in words is "twenty-seven million, eight hundred fifty-three thousand, seven hundred twenty-eight".