828990 has 48 divisors (see below), whose sum is σ = 2205216. Its totient is φ = 216000.

The previous prime is 828977. The next prime is 829001. The reversal of 828990 is 99828.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5415 + ... + 5565.

It is an arithmetic number, because the mean of its divisors is an integer number (45942).

2⁸²⁸⁹⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102608).

828990 is an abundant number, since it is smaller than the sum of its proper divisors (1376226).

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

828990 is a wasteful number, since it uses less digits than its factorization.

828990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 222 counting only the distinct ones).

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

The square root of 828990 is about 910.4888796685. The cubic root of 828990 is about 93.9398287013.

The spelling of 828990 in words is "eight hundred twenty-eight thousand, nine hundred ninety".