27964352 has 112 divisors (see below), whose sum is σ = 66141600. Its totient is φ = 11612160.

The previous prime is 27964331. The next prime is 27964361. The reversal of 27964352 is 25346972.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 458402 + ... + 458462.

It is an arithmetic number, because the mean of its divisors is an integer number (590550).

Almost surely, 2^27964352 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 27964352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33070800).

27964352 is an abundant number, since it is smaller than the sum of its proper divisors (38177248).

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

27964352 is a wasteful number, since it uses less digits than its factorization.

27964352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 124 counting only the distinct ones).

The product of its digits is 90720, while the sum is 38.

The square root of 27964352 is about 5288.1331299429. The cubic root of 27964352 is about 303.5299754081.

The spelling of 27964352 in words is "twenty-seven million, nine hundred sixty-four thousand, three hundred fifty-two".