1026828 has 36 divisors (see below), whose sum is σ = 2832648. Its totient is φ = 311040.

The previous prime is 1026811. The next prime is 1026829. The reversal of 1026828 is 8286201.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (1026829) 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 11 ways as a sum of consecutive naturals, for example, 901 + ... + 1692.

2^1026828 is an apocalyptic number.

1026828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1026828 is an abundant number, since it is smaller than the sum of its proper divisors (1805820).

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

1026828 is a wasteful number, since it uses less digits than its factorization.

1026828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1026828 is about 1013.3252192658. The cubic root of 1026828 is about 100.8863866400.

It can be divided in two parts, 10268 and 28, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 1026828 in words is "one million, twenty-six thousand, eight hundred twenty-eight".