27263952 has 100 divisors (see below), whose sum is σ = 80046340. Its totient is φ = 8957952.

The previous prime is 27263941. The next prime is 27263953. The reversal of 27263952 is 25936272.

It can be written as a sum of positive squares in 2 ways, for example, as 12702096 + 14561856 = 3564^2 + 3816^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27263953) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 141168 + ... + 141360.

Almost surely, 2^27263952 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 27263952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40023170).

27263952 is an abundant number, since it is smaller than the sum of its proper divisors (52782388).

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

27263952 is a wasteful number, since it uses less digits than its factorization.

27263952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 307 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 27263952 is about 5221.4894426782. The cubic root of 27263952 is about 300.9744315172.

It can be divided in two parts, 272639 and 52, that added together give a triangular number (272691 = T₇₃₈).

The spelling of 27263952 in words is "twenty-seven million, two hundred sixty-three thousand, nine hundred fifty-two".