1428053284800 has 1344 divisors, whose sum is σ = 5914646438400. Its totient is φ = 332970393600.

The previous prime is 1428053284769. The next prime is 1428053284849. The reversal of 1428053284800 is 84823508241.

1428053284800 is a `hidden beast` number, since 1 + 4 + 280 + 5 + 328 + 48 + 0 + 0 = 666.

It is a super-2 number, since 2×1428053284800² (a number of 25 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 739539835 + ... + 739541765.

It is an arithmetic number, because the mean of its divisors is an integer number (4400778600).

Almost surely, 2^{1428053284800} is an apocalyptic number.

1428053284800 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 1428053284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957323219200).

1428053284800 is an abundant number, since it is smaller than the sum of its proper divisors (4486593153600).

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

1428053284800 is a wasteful number, since it uses less digits than its factorization.

1428053284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 1428053284800 in words is "one trillion, four hundred twenty-eight billion, fifty-three million, two hundred eighty-four thousand, eight hundred".