27958720 has 56 divisors (see below), whose sum is σ = 68232528. Its totient is φ = 10905600.

The previous prime is 27958699. The next prime is 27958753. The reversal of 27958720 is 2785972.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12055 + ... + 14185.

It is an arithmetic number, because the mean of its divisors is an integer number (1218438).

Almost surely, 2^27958720 is an apocalyptic number.

27958720 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 27958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34116264).

27958720 is an abundant number, since it is smaller than the sum of its proper divisors (40273808).

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

27958720 is a wasteful number, since it uses less digits than its factorization.

27958720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 27958720 is about 5287.6005900597. The cubic root of 27958720 is about 303.5095971352.

The spelling of 27958720 in words is "twenty-seven million, nine hundred fifty-eight thousand, seven hundred twenty".