1028455483104 has 288 divisors, whose sum is σ = 3463499632320. Its totient is φ = 283239161856.

The previous prime is 1028455483087. The next prime is 1028455483127. The reversal of 1028455483104 is 4013845548201.

1028455483104 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 4 + 554 + 83 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 1028455483104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35824084 + ... + 35852780.

It is an arithmetic number, because the mean of its divisors is an integer number (12026040390).

Almost surely, 2^{1028455483104} is an apocalyptic number.

1028455483104 is a gapful number since it is divisible by the number (14) 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 1028455483104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731749816160).

1028455483104 is an abundant number, since it is smaller than the sum of its proper divisors (2435044149216).

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

1028455483104 is a wasteful number, since it uses less digits than its factorization.

1028455483104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29362 (or 29351 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 1028455483104 in words is "one trillion, twenty-eight billion, four hundred fifty-five million, four hundred eighty-three thousand, one hundred four".