1428208891200 has 1344 divisors, whose sum is σ = 6564844823040. Its totient is φ = 293953536000.

The previous prime is 1428208891163. The next prime is 1428208891201. The reversal of 1428208891200 is 21988028241.

1428208891200 is a `hidden beast` number, since 1 + 4 + 282 + 0 + 88 + 91 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1428208891201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 161174770 + ... + 161183630.

It is an arithmetic number, because the mean of its divisors is an integer number (4884557160).

Almost surely, 2^{1428208891200} is an apocalyptic number.

1428208891200 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 1428208891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3282422411520).

1428208891200 is an abundant number, since it is smaller than the sum of its proper divisors (5136635931840).

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

1428208891200 is a wasteful number, since it uses less digits than its factorization.

1428208891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8953 (or 8932 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 1428208891200 in words is "one trillion, four hundred twenty-eight billion, two hundred eight million, eight hundred ninety-one thousand, two hundred".