27952064 has 56 divisors (see below), whose sum is σ = 64910208. Its totient is φ = 11692800.

The previous prime is 27952033. The next prime is 27952073. The reversal of 27952064 is 46025972.

27952064 = 400² + 401² + ... + 528².

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18539 + ... + 19989.

Almost surely, 2^27952064 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 27952064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32455104).

27952064 is an abundant number, since it is smaller than the sum of its proper divisors (36958144).

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

27952064 is a wasteful number, since it uses less digits than its factorization.

27952064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 27952064 is about 5286.9711555862. The cubic root of 27952064 is about 303.4855101931.

The spelling of 27952064 in words is "twenty-seven million, nine hundred fifty-two thousand, sixty-four".