27973520 has 60 divisors (see below), whose sum is σ = 68091996. Its totient is φ = 10686720.

The previous prime is 27973513. The next prime is 27973531. The reversal of 27973520 is 2537972.

It is a Cunningham number, because it is equal to 5289²-1.

It can be written as a sum of positive squares in 2 ways, for example, as 16386304 + 11587216 = 4048^2 + 3404^2 .

It is a super-3 number, since 3×27973520³ (a number of 23 digits) contains 333 as substring.

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, 41990 + ... + 42650.

Almost surely, 2^27973520 is an apocalyptic number.

27973520 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 27973520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34045998).

27973520 is an abundant number, since it is smaller than the sum of its proper divisors (40118476).

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

27973520 is a wasteful number, since it uses less digits than its factorization.

27973520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 35.

The square root of 27973520 is about 5288.9999054642. Note that the first 4 decimals coincide. The cubic root of 27973520 is about 303.5631421432.

The spelling of 27973520 in words is "twenty-seven million, nine hundred seventy-three thousand, five hundred twenty".