27853980 has 96 divisors (see below), whose sum is σ = 97251840. Its totient is φ = 5786880.

The previous prime is 27853967. The next prime is 27853993. The reversal of 27853980 is 8935872.

It is an interprime number because it is at equal distance from previous prime (27853967) and next prime (27853993).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 1606 + ... + 7634.

It is an arithmetic number, because the mean of its divisors is an integer number (1013040).

Almost surely, 2^27853980 is an apocalyptic number.

27853980 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 27853980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48625920).

27853980 is an abundant number, since it is smaller than the sum of its proper divisors (69397860).

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

27853980 is a wasteful number, since it uses less digits than its factorization.

27853980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6059 (or 6057 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 27853980 is about 5277.6869933712. The cubic root of 27853980 is about 303.1301165396.

The spelling of 27853980 in words is "twenty-seven million, eight hundred fifty-three thousand, nine hundred eighty".