27848000 has 84 divisors (see below), whose sum is σ = 70154292. Its totient is φ = 10950400.

The previous prime is 27847999. The next prime is 27848027. The reversal of 27848000 is 84872.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 891136 + 26956864 = 944^2 + 5192^2 .

It is a super-2 number, since 2×27848000² = 1551022208000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 471971 + ... + 472029.

Almost surely, 2^27848000 is an apocalyptic number.

27848000 is a gapful number since it is divisible by the number (20) 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 27848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35077146).

27848000 is an abundant number, since it is smaller than the sum of its proper divisors (42306292).

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

27848000 is an frugal number, since it uses more digits than its factorization.

27848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 27848000 is about 5277.1204268995. The cubic root of 27848000 is about 303.1084218800.

The spelling of 27848000 in words is "twenty-seven million, eight hundred forty-eight thousand".