1028509304850 has 72 divisors (see below), whose sum is σ = 2778528524772. Its totient is φ = 272753827200.

The previous prime is 1028509304843. The next prime is 1028509304857. The reversal of 1028509304850 is 584039058201.

1028509304850 is a `hidden beast` number, since 1 + 0 + 2 + 85 + 0 + 93 + 0 + 485 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1028509304843) and next prime (1028509304857).

It can be written as a sum of positive squares in 6 ways, for example, as 141840364689 + 886668940161 = 376617^2 + 941631^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1028509304796 and 1028509304805.

It is not an unprimeable number, because it can be changed into a prime (1028509304857) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 6232297 + ... + 6395196.

Almost surely, 2^{1028509304850} is an apocalyptic number.

1028509304850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1028509304850 is an abundant number, since it is smaller than the sum of its proper divisors (1750019219922).

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

1028509304850 is a wasteful number, since it uses less digits than its factorization.

1028509304850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12627692 (or 12627684 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 1028509304850 in words is "one trillion, twenty-eight billion, five hundred nine million, three hundred four thousand, eight hundred fifty".