1028191418250 has 128 divisors (see below), whose sum is σ = 2637487277568. Its totient is φ = 266595840000.

The previous prime is 1028191418209. The next prime is 1028191418251. The reversal of 1028191418250 is 528141918201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1028191418251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44416179 + ... + 44439321.

It is an arithmetic number, because the mean of its divisors is an integer number (20605369356).

Almost surely, 2^{1028191418250} is an apocalyptic number.

1028191418250 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 1028191418250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318743638784).

1028191418250 is an abundant number, since it is smaller than the sum of its proper divisors (1609295859318).

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

1028191418250 is a wasteful number, since it uses less digits than its factorization.

1028191418250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24801 (or 24791 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 42.

It can be divided in two parts, 1028191 and 418250, that added together give a palindrome (1446441).

The spelling of 1028191418250 in words is "one trillion, twenty-eight billion, one hundred ninety-one million, four hundred eighteen thousand, two hundred fifty".