27729240 has 128 divisors (see below), whose sum is σ = 103749120. Its totient is φ = 5760000.

The previous prime is 27729239. The next prime is 27729241. The reversal of 27729240 is 4292772.

It is an interprime number because it is at equal distance from previous prime (27729239) and next prime (27729241).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27729241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7740 + ... + 10740.

It is an arithmetic number, because the mean of its divisors is an integer number (810540).

Almost surely, 2^27729240 is an apocalyptic number.

27729240 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 27729240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51874560).

27729240 is an abundant number, since it is smaller than the sum of its proper divisors (76019880).

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

27729240 is a wasteful number, since it uses less digits than its factorization.

27729240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 27729240 is about 5265.8560557615. The cubic root of 27729240 is about 302.6769313042.

The spelling of 27729240 in words is "twenty-seven million, seven hundred twenty-nine thousand, two hundred forty".