27728424 has 48 divisors (see below), whose sum is σ = 75847200. Its totient is φ = 9150624.

The previous prime is 27728417. The next prime is 27728431. The reversal of 27728424 is 42482772.

27728424 = 467² + 468² + ... + 569².

It is an interprime number because it is at equal distance from previous prime (27728417) and next prime (27728431).

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

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 11 ways as a sum of consecutive naturals, for example, 5547 + ... + 9285.

It is an arithmetic number, because the mean of its divisors is an integer number (1580150).

Almost surely, 2^27728424 is an apocalyptic number.

27728424 is a gapful number since it is divisible by the number (24) 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 27728424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37923600).

27728424 is an abundant number, since it is smaller than the sum of its proper divisors (48118776).

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

27728424 is a wasteful number, since it uses less digits than its factorization.

27728424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3854 (or 3847 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 27728424 is about 5265.7785749118. The cubic root of 27728424 is about 302.6739622746.

The spelling of 27728424 in words is "twenty-seven million, seven hundred twenty-eight thousand, four hundred twenty-four".