1028165987200 has 384 divisors, whose sum is σ = 2845235393280. Its totient is φ = 363878400000.

The previous prime is 1028165987117. The next prime is 1028165987203. The reversal of 1028165987200 is 27895618201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028165987203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 997250685 + ... + 997251715.

It is an arithmetic number, because the mean of its divisors is an integer number (7409467170).

Almost surely, 2^{1028165987200} is an apocalyptic number.

1028165987200 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 1028165987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422617696640).

1028165987200 is an abundant number, since it is smaller than the sum of its proper divisors (1817069406080).

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

1028165987200 is a wasteful number, since it uses less digits than its factorization.

1028165987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 49.

The spelling of 1028165987200 in words is "one trillion, twenty-eight billion, one hundred sixty-five million, nine hundred eighty-seven thousand, two hundred".