1028260100 has 108 divisors (see below), whose sum is σ = 2612778084. Its totient is φ = 350219520.

The previous prime is 1028260099. The next prime is 1028260109. The reversal of 1028260100 is 10628201.

It can be written as a sum of positive squares in 6 ways, for example, as 37773316 + 990486784 = 6146^2 + 31472^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1028260109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 847094 + ... + 848306.

Almost surely, 2^1028260100 is an apocalyptic number.

1028260100 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 1028260100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306389042).

1028260100 is an abundant number, since it is smaller than the sum of its proper divisors (1584517984).

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

1028260100 is a wasteful number, since it uses less digits than its factorization.

1028260100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 1028260100 is about 32066.4949752853. The cubic root of 1028260100 is about 1009.3326637663.

Adding to 1028260100 its reverse (10628201), we get a palindrome (1038888301).

The spelling of 1028260100 in words is "one billion, twenty-eight million, two hundred sixty thousand, one hundred".