1028100 has 72 divisors (see below), whose sum is σ = 3124800. Its totient is φ = 260480.

The previous prime is 1028099. The next prime is 1028101. The reversal of 1028100 is 18201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1028099) and next prime (1028101).

It is a super-2 number, since 2×1028100² = 2113979220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1028101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6826 + ... + 6974.

It is an arithmetic number, because the mean of its divisors is an integer number (43400).

2^1028100 is an apocalyptic number.

1028100 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 1028100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562400).

1028100 is an abundant number, since it is smaller than the sum of its proper divisors (2096700).

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

1028100 is a wasteful number, since it uses less digits than its factorization.

1028100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1028100 is about 1013.9526616169. The cubic root of 1028100 is about 100.9280276714.

It can be divided in two parts, 1028 and 100, that added together give a triangular number (1128 = T₄₇).

The spelling of 1028100 in words is "one million, twenty-eight thousand, one hundred".