1028345100 has 72 divisors (see below), whose sum is σ = 3011265600. Its totient is φ = 270914880.

The previous prime is 1028345083. The next prime is 1028345159. The reversal of 1028345100 is 15438201.

1028345100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4251 + ... + 45549.

Almost surely, 2^1028345100 is an apocalyptic number.

1028345100 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 1028345100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505632800).

1028345100 is an abundant number, since it is smaller than the sum of its proper divisors (1982920500).

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

1028345100 is a wasteful number, since it uses less digits than its factorization.

1028345100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41399 (or 41392 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1028345100 is about 32067.8203188181. The cubic root of 1028345100 is about 1009.3604747947.

The spelling of 1028345100 in words is "one billion, twenty-eight million, three hundred forty-five thousand, one hundred".