1028107160 has 64 divisors (see below), whose sum is σ = 2388856320. Its totient is φ = 397923840.

The previous prime is 1028107151. The next prime is 1028107163. The reversal of 1028107160 is 617018201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028107163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280862 + ... + 284498.

It is an arithmetic number, because the mean of its divisors is an integer number (37325880).

Almost surely, 2^1028107160 is an apocalyptic number.

1028107160 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 1028107160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194428160).

1028107160 is an abundant number, since it is smaller than the sum of its proper divisors (1360749160).

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

1028107160 is a wasteful number, since it uses less digits than its factorization.

1028107160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3876 (or 3872 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 26.

The square root of 1028107160 is about 32064.1101545014. The cubic root of 1028107160 is about 1009.2826196865.

The spelling of 1028107160 in words is "one billion, twenty-eight million, one hundred seven thousand, one hundred sixty".