27965952 has 240 divisors, whose sum is σ = 100499520. Its totient is φ = 7520256.

The previous prime is 27965911. The next prime is 27965957. The reversal of 27965952 is 25956972.

It is a junction number, because it is equal to n+sod(n) for n = 27965898 and 27965907.

It is not an unprimeable number, because it can be changed into a prime (27965957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1645048 + ... + 1645064.

It is an arithmetic number, because the mean of its divisors is an integer number (418748).

Almost surely, 2^27965952 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 27965952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50249760).

27965952 is an abundant number, since it is smaller than the sum of its proper divisors (72533568).

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

27965952 is an equidigital number, since it uses as much as digits as its factorization.

27965952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 29 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 27965952 is about 5288.2844099008. The cubic root of 27965952 is about 303.5357641912.

Multiplying 27965952 by its product of digits (340200), we get a square (9514016870400 = 3084480²).

The spelling of 27965952 in words is "twenty-seven million, nine hundred sixty-five thousand, nine hundred fifty-two".