1028416435200 has 3168 divisors, whose sum is σ = 5055766410240. Its totient is φ = 200658124800.

The previous prime is 1028416435159. The next prime is 1028416435231. The reversal of 1028416435200 is 25346148201.

It is a happy number.

1028416435200 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 4 + 1 + 643 + 5 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9101030344 + ... + 9101030456.

Almost surely, 2^{1028416435200} is an apocalyptic number.

1028416435200 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 1028416435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527883205120).

1028416435200 is an abundant number, since it is smaller than the sum of its proper divisors (4027349975040).

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

1028416435200 is a wasteful number, since it uses less digits than its factorization.

1028416435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 1028416435200 in words is "one trillion, twenty-eight billion, four hundred sixteen million, four hundred thirty-five thousand, two hundred".