27929120 has 48 divisors (see below), whose sum is σ = 66429720. Its totient is φ = 11096064.

The previous prime is 27929093. The next prime is 27929129. The reversal of 27929120 is 2192972.

It can be written as a sum of positive squares in 4 ways, for example, as 25120144 + 2808976 = 5012^2 + 1676^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27929129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27176 + ... + 28184.

Almost surely, 2^27929120 is an apocalyptic number.

27929120 is a gapful number since it is divisible by the number (20) 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 27929120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33214860).

27929120 is an abundant number, since it is smaller than the sum of its proper divisors (38500600).

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

27929120 is a wasteful number, since it uses less digits than its factorization.

27929120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 27929120 is about 5284.8008477141. The cubic root of 27929120 is about 303.4024504040.

The spelling of 27929120 in words is "twenty-seven million, nine hundred twenty-nine thousand, one hundred twenty".