27965652 has 96 divisors (see below), whose sum is σ = 78650880. Its totient is φ = 7620480.

The previous prime is 27965621. The next prime is 27965659. The reversal of 27965652 is 25656972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27965659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73599 + ... + 73977.

It is an arithmetic number, because the mean of its divisors is an integer number (819280).

Almost surely, 2^27965652 is an apocalyptic number.

27965652 is a gapful number since it is divisible by the number (22) 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 27965652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39325440).

27965652 is an abundant number, since it is smaller than the sum of its proper divisors (50685228).

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

27965652 is a wasteful number, since it uses less digits than its factorization.

27965652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 451 counting only the distinct ones).

The product of its digits is 226800, while the sum is 42.

The square root of 27965652 is about 5288.2560452384. The cubic root of 27965652 is about 303.5346788112.

It can be divided in two parts, 2796 and 5652, that added together give a palindrome (8448).

The spelling of 27965652 in words is "twenty-seven million, nine hundred sixty-five thousand, six hundred fifty-two".