27728300 has 36 divisors (see below), whose sum is σ = 61647096. Its totient is φ = 10819200.

The previous prime is 27728287. The next prime is 27728303. The reversal of 27728300 is 382772.

It is not an unprimeable number, because it can be changed into a prime (27728303) 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 11 ways as a sum of consecutive naturals, for example, 719 + ... + 7481.

Almost surely, 2^27728300 is an apocalyptic number.

27728300 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 27728300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30823548).

27728300 is an abundant number, since it is smaller than the sum of its proper divisors (33918796).

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

27728300 is a wasteful number, since it uses less digits than its factorization.

27728300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6818 (or 6811 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 27728300 is about 5265.7668007613. The cubic root of 27728300 is about 302.6735110935.

The spelling of 27728300 in words is "twenty-seven million, seven hundred twenty-eight thousand, three hundred".