990828 has 36 divisors (see below), whose sum is σ = 2653560. Its totient is φ = 310656.

The previous prime is 990809. The next prime is 990841. The reversal of 990828 is 828099.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 990792 and 990801.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 990828.

It is an unprimeable number.

990828 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198 + ... + 1421.

It is an arithmetic number, because the mean of its divisors is an integer number (73710).

2⁹⁹⁰⁸²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326780).

990828 is an abundant number, since it is smaller than the sum of its proper divisors (1662732).

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

990828 is a wasteful number, since it uses less digits than its factorization.

990828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 990828 is about 995.4034357988. The cubic root of 990828 is about 99.6933271457.

The spelling of 990828 in words is "nine hundred ninety thousand, eight hundred twenty-eight".