1017828 has 54 divisors (see below), whose sum is σ = 2998086. Its totient is φ = 290304.

The previous prime is 1017827. The next prime is 1017847. The reversal of 1017828 is 8287101.

It can be written as a sum of positive squares in only one way, i.e., 1016064 + 1764 = 1008^2 + 42^2 .

It is not an unprimeable number, because it can be changed into a prime (1017827) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1476 + ... + 2052.

2^1017828 is an apocalyptic number.

1017828 is a gapful number since it is divisible by the number (18) 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 1017828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499043).

1017828 is an abundant number, since it is smaller than the sum of its proper divisors (1980258).

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

1017828 is a wasteful number, since it uses less digits than its factorization.

1017828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 1017828 is about 1008.8746205550. The cubic root of 1017828 is about 100.5907697054.

The spelling of 1017828 in words is "one million, seventeen thousand, eight hundred twenty-eight".