27128964000 has 384 divisors, whose sum is σ = 91842895872. Its totient is φ = 6996710400.

The previous prime is 27128963989. The next prime is 27128964029. The reversal of 27128964000 is 46982172.

It is a self number, because there is not a number n which added to its sum of digits gives 27128964000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58091767 + ... + 58092233.

It is an arithmetic number, because the mean of its divisors is an integer number (239174208).

Almost surely, 2^27128964000 is an apocalyptic number.

27128964000 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 27128964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45921447936).

27128964000 is an abundant number, since it is smaller than the sum of its proper divisors (64713931872).

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

27128964000 is a wasteful number, since it uses less digits than its factorization.

27128964000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 27128964000 in words is "twenty-seven billion, one hundred twenty-eight million, nine hundred sixty-four thousand".