27953952 has 72 divisors (see below), whose sum is σ = 79503984. Its totient is φ = 8596224.

The previous prime is 27953951. The next prime is 27953953. The reversal of 27953952 is 25935972.

It is an interprime number because it is at equal distance from previous prime (27953951) and next prime (27953953).

It is not an unprimeable number, because it can be changed into a prime (27953951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15363 + ... + 17085.

It is an arithmetic number, because the mean of its divisors is an integer number (1104222).

Almost surely, 2^27953952 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 27953952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39751992).

27953952 is an abundant number, since it is smaller than the sum of its proper divisors (51550032).

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

27953952 is a wasteful number, since it uses less digits than its factorization.

27953952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1741 counting only the distinct ones).

The product of its digits is 170100, while the sum is 42.

The square root of 27953952 is about 5287.1497047086. The cubic root of 27953952 is about 303.4923429353.

The spelling of 27953952 in words is "twenty-seven million, nine hundred fifty-three thousand, nine hundred fifty-two".