27013428 has 72 divisors (see below), whose sum is σ = 74162088. Its totient is φ = 8241408.

The previous prime is 27013397. The next prime is 27013457. The reversal of 27013428 is 82431072.

It can be written as a sum of positive squares in 4 ways, for example, as 13749264 + 13264164 = 3708^2 + 3642^2 .

It is a super-2 number, since 2×27013428² = 1459450584622368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92050 + ... + 92342.

It is an arithmetic number, because the mean of its divisors is an integer number (1030029).

Almost surely, 2^27013428 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 27013428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37081044).

27013428 is an abundant number, since it is smaller than the sum of its proper divisors (47148660).

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

27013428 is a wasteful number, since it uses less digits than its factorization.

27013428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 27013428 is about 5197.4443719967. Note that the first 3 decimals coincide. The cubic root of 27013428 is about 300.0497250909.

The spelling of 27013428 in words is "twenty-seven million, thirteen thousand, four hundred twenty-eight".