27328435430400 has 1056 divisors, whose sum is σ = 112777364286720. Its totient is φ = 6434472591360.

The previous prime is 27328435430299. The next prime is 27328435430411. The reversal of 27328435430400 is 403453482372.

27328435430400 is a `hidden beast` number, since 2 + 7 + 3 + 28 + 43 + 543 + 0 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 206602684 + ... + 206734916.

Almost surely, 2^{27328435430400} is an apocalyptic number.

27328435430400 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 27328435430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56388682143360).

27328435430400 is an abundant number, since it is smaller than the sum of its proper divisors (85448928856320).

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

27328435430400 is a wasteful number, since it uses less digits than its factorization.

27328435430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132308 (or 132279 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 27328435430400 in words is "twenty-seven trillion, three hundred twenty-eight billion, four hundred thirty-five million, four hundred thirty thousand, four hundred".