1028882344000 has 224 divisors, whose sum is σ = 2924783746560. Its totient is φ = 351214848000.

The previous prime is 1028882343989. The next prime is 1028882344033. The reversal of 1028882344000 is 4432888201.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12783885 + ... + 12864115.

Almost surely, 2^{1028882344000} is an apocalyptic number.

1028882344000 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 1028882344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462391873280).

1028882344000 is an abundant number, since it is smaller than the sum of its proper divisors (1895901402560).

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

1028882344000 is an equidigital number, since it uses as much as digits as its factorization.

1028882344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80494 (or 80474 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The spelling of 1028882344000 in words is "one trillion, twenty-eight billion, eight hundred eighty-two million, three hundred forty-four thousand".