27730728 has 128 divisors (see below), whose sum is σ = 84240000. Its totient is φ = 8418816.

The previous prime is 27730727. The next prime is 27730733. The reversal of 27730728 is 82703772.

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

It is a junction number, because it is equal to n+sod(n) for n = 27730692 and 27730701.

It is not an unprimeable number, because it can be changed into a prime (27730721) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 118900 + ... + 119132.

It is an arithmetic number, because the mean of its divisors is an integer number (658125).

Almost surely, 2^27730728 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 27730728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42120000).

27730728 is an abundant number, since it is smaller than the sum of its proper divisors (56509272).

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

27730728 is a wasteful number, since it uses less digits than its factorization.

27730728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 27730728 is about 5265.9973414350. The cubic root of 27730728 is about 302.6823452669.

The spelling of 27730728 in words is "twenty-seven million, seven hundred thirty thousand, seven hundred twenty-eight".