1327128000 has 336 divisors, whose sum is σ = 4827312672. Its totient is φ = 321024000.

The previous prime is 1327127999. The next prime is 1327128007. The reversal of 1327128000 is 8217231.

It is a super-2 number, since 2×1327128000² = 3522537456768000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327128007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2903772 + ... + 2904228.

It is an arithmetic number, because the mean of its divisors is an integer number (14367002).

Almost surely, 2^1327128000 is an apocalyptic number.

1327128000 is a gapful number since it is divisible by the number (10) 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 1327128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413656336).

1327128000 is an abundant number, since it is smaller than the sum of its proper divisors (3500184672).

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

1327128000 is a wasteful number, since it uses less digits than its factorization.

1327128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1327128000 is about 36429.7680475734. The cubic root of 1327128000 is about 1098.9322973150.

The spelling of 1327128000 in words is "one billion, three hundred twenty-seven million, one hundred twenty-eight thousand".