1028888488890 has 256 divisors, whose sum is σ = 2892895948800. Its totient is φ = 259863738624.

The previous prime is 1028888488883. The next prime is 1028888488909. The reversal of 1028888488890 is 988848888201.

It is a super-2 number, since 2×1028888488890² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 86288469 + ... + 86300391.

It is an arithmetic number, because the mean of its divisors is an integer number (11300374800).

Almost surely, 2^{1028888488890} is an apocalyptic number.

1028888488890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028888488890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446447974400).

1028888488890 is an abundant number, since it is smaller than the sum of its proper divisors (1864007459910).

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

1028888488890 is a wasteful number, since it uses less digits than its factorization.

1028888488890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12178 (or 12172 counting only the distinct ones).

The product of its (nonzero) digits is 150994944, while the sum is 72.

The spelling of 1028888488890 in words is "one trillion, twenty-eight billion, eight hundred eighty-eight million, four hundred eighty-eight thousand, eight hundred ninety".