1035828 has 60 divisors (see below), whose sum is σ = 2845920. Its totient is φ = 327888.

The previous prime is 1035791. The next prime is 1035829. The reversal of 1035828 is 8285301.

It is a happy number.

It is a super-3 number, since 3×1035828³ = 3334142781617950656, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035829) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7383 + ... + 7521.

It is an arithmetic number, because the mean of its divisors is an integer number (47432).

2^1035828 is an apocalyptic number.

1035828 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 1035828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422960).

1035828 is an abundant number, since it is smaller than the sum of its proper divisors (1810092).

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

1035828 is a wasteful number, since it uses less digits than its factorization.

1035828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1035828 is about 1017.7563559124. The cubic root of 1035828 is about 101.1802812221.

The spelling of 1035828 in words is "one million, thirty-five thousand, eight hundred twenty-eight".