1028100096 has 117 divisors (see below), whose sum is σ = 2987593531. Its totient is φ = 340647936.

The previous prime is 1028100079. The next prime is 1028100097. The reversal of 1028100096 is 6900018201.

The square root of 1028100096 is 32064.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1028100097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6156205 + ... + 6156371.

Almost surely, 2^1028100096 is an apocalyptic number.

1028100096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1028100096 is the 32064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028100096

1028100096 is an abundant number, since it is smaller than the sum of its proper divisors (1959493435).

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

1028100096 is an frugal number, since it uses more digits than its factorization.

1028100096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The cubic root of 1028100096 is about 1009.2803081283.

Adding to 1028100096 its reverse (6900018201), we get a palindrome (7928118297).

It can be divided in two parts, 1028 and 100096, that added together give a square (101124 = 318²).

The spelling of 1028100096 in words is "one billion, twenty-eight million, one hundred thousand, ninety-six".