27997032 has 128 divisors (see below), whose sum is σ = 86400000. Its totient is φ = 7535808.

The previous prime is 27997031. The next prime is 27997037. The reversal of 27997032 is 23079972.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (27997031) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 156319 + ... + 156497.

It is an arithmetic number, because the mean of its divisors is an integer number (675000).

Almost surely, 2^27997032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27997032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43200000).

27997032 is an abundant number, since it is smaller than the sum of its proper divisors (58402968).

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

27997032 is a wasteful number, since it uses less digits than its factorization.

27997032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 27997032 is about 5291.2221650579. Note that the first 3 decimals coincide. The cubic root of 27997032 is about 303.6481675274.

The spelling of 27997032 in words is "twenty-seven million, nine hundred ninety-seven thousand, thirty-two".