27724928 has 128 divisors (see below), whose sum is σ = 71971200. Its totient is φ = 10321920.

The previous prime is 27724919. The next prime is 27724967. The reversal of 27724928 is 82942772.

It is a tau number, because it is divible by the number of its divisors (128).

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, 285776 + ... + 285872.

It is an arithmetic number, because the mean of its divisors is an integer number (562275).

Almost surely, 2^27724928 is an apocalyptic number.

27724928 is a gapful number since it is divisible by the number (28) 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 27724928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35985600).

27724928 is an abundant number, since it is smaller than the sum of its proper divisors (44246272).

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

27724928 is a wasteful number, since it uses less digits than its factorization.

27724928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 146 counting only the distinct ones).

The product of its digits is 112896, while the sum is 41.

The square root of 27724928 is about 5265.4466097379. The cubic root of 27724928 is about 302.6612413612.

It can be divided in two parts, 2772 and 4928, that multiplied together give a square (13660416 = 3696²).

The spelling of 27724928 in words is "twenty-seven million, seven hundred twenty-four thousand, nine hundred twenty-eight".