27728420500 has 144 divisors (see below), whose sum is σ = 69462312192. Its totient is φ = 9644184000.

The previous prime is 27728420399. The next prime is 27728420509. The reversal of 27728420500 is 502482772.

It is a self number, because there is not a number n which added to its sum of digits gives 27728420500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27728420509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1381537 + ... + 1401463.

It is an arithmetic number, because the mean of its divisors is an integer number (482377168).

Almost surely, 2^27728420500 is an apocalyptic number.

27728420500 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 27728420500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34731156096).

27728420500 is an abundant number, since it is smaller than the sum of its proper divisors (41733891692).

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

27728420500 is a wasteful number, since it uses less digits than its factorization.

27728420500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19991 (or 19968 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 37.

The spelling of 27728420500 in words is "twenty-seven billion, seven hundred twenty-eight million, four hundred twenty thousand, five hundred".