1428108595200 has 1872 divisors, whose sum is σ = 6229701876736. Its totient is φ = 305764761600.

The previous prime is 1428108595183. The next prime is 1428108595213. The reversal of 1428108595200 is 25958018241.

1428108595200 is a `hidden beast` number, since 1 + 4 + 28 + 10 + 8 + 595 + 20 + 0 = 666.

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, 7399526304 + ... + 7399526496.

Almost surely, 2^{1428108595200} is an apocalyptic number.

1428108595200 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 1428108595200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114850938368).

1428108595200 is an abundant number, since it is smaller than the sum of its proper divisors (4801593281536).

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

1428108595200 is a wasteful number, since it uses less digits than its factorization.

1428108595200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 1428108595200 in words is "one trillion, four hundred twenty-eight billion, one hundred eight million, five hundred ninety-five thousand, two hundred".