27958920 has 128 divisors (see below), whose sum is σ = 93312000. Its totient is φ = 6644480.

The previous prime is 27958919. The next prime is 27958943. The reversal of 27958920 is 2985972.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77701 + ... + 78059.

It is an arithmetic number, because the mean of its divisors is an integer number (729000).

Almost surely, 2^27958920 is an apocalyptic number.

27958920 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 27958920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46656000).

27958920 is an abundant number, since it is smaller than the sum of its proper divisors (65353080).

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

27958920 is a wasteful number, since it uses less digits than its factorization.

27958920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 27958920 is about 5287.6195021957. The cubic root of 27958920 is about 303.5103208423.

The spelling of 27958920 in words is "twenty-seven million, nine hundred fifty-eight thousand, nine hundred twenty".