1028590120800 has 1728 divisors, whose sum is σ = 4344831912960. Its totient is φ = 234178560000.

The previous prime is 1028590120783. The next prime is 1028590120829. The reversal of 1028590120800 is 80210958201.

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4268008680 + ... + 4268008920.

It is an arithmetic number, because the mean of its divisors is an integer number (2514370320).

Almost surely, 2^{1028590120800} is an apocalyptic number.

1028590120800 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 1028590120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172415956480).

1028590120800 is an abundant number, since it is smaller than the sum of its proper divisors (3316241792160).

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

1028590120800 is a wasteful number, since it uses less digits than its factorization.

1028590120800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 1028590120800 in words is "one trillion, twenty-eight billion, five hundred ninety million, one hundred twenty thousand, eight hundred".