1727628134400 has 1728 divisors, whose sum is σ = 7452423014400. Its totient is φ = 388496424960.

The previous prime is 1727628134321. The next prime is 1727628134459. The reversal of 1727628134400 is 44318267271.

1727628134400 is a `hidden beast` number, since 1 + 7 + 2 + 7 + 628 + 13 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7228569481 + ... + 7228569719.

It is an arithmetic number, because the mean of its divisors is an integer number (4312744800).

Almost surely, 2^{1727628134400} is an apocalyptic number.

1727628134400 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 1727628134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3726211507200).

1727628134400 is an abundant number, since it is smaller than the sum of its proper divisors (5724794880000).

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

1727628134400 is an equidigital number, since it uses as much as digits as its factorization.

1727628134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 1727628134400 in words is "one trillion, seven hundred twenty-seven billion, six hundred twenty-eight million, one hundred thirty-four thousand, four hundred".