27728173200 has 480 divisors, whose sum is σ = 112860332032. Its totient is φ = 5660928000.

The previous prime is 27728173103. The next prime is 27728173211. The reversal of 27728173200 is 237182772.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3381105 + ... + 3389295.

Almost surely, 2^27728173200 is an apocalyptic number.

27728173200 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 27728173200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56430166016).

27728173200 is an abundant number, since it is smaller than the sum of its proper divisors (85132158832).

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

27728173200 is a wasteful number, since it uses less digits than its factorization.

27728173200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8263 (or 8252 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The spelling of 27728173200 in words is "twenty-seven billion, seven hundred twenty-eight million, one hundred seventy-three thousand, two hundred".