9200828 has 72 divisors (see below), whose sum is σ = 21182112. Its totient is φ = 3459456.

The previous prime is 9200803. The next prime is 9200837. The reversal of 9200828 is 8280029.

9200828 is a modest number, since divided by 828 gives 92 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 9200828.

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, 58526 + ... + 58682.

It is an arithmetic number, because the mean of its divisors is an integer number (294196).

Almost surely, 2^9200828 is an apocalyptic number.

9200828 is a gapful number since it is divisible by the number (98) 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 9200828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10591056).

9200828 is an abundant number, since it is smaller than the sum of its proper divisors (11981284).

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

9200828 is a wasteful number, since it uses less digits than its factorization.

9200828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 9200828 is about 3033.2866663077. The cubic root of 9200828 is about 209.5441965831.

It can be divided in two parts, 9200 and 828, that multiplied together give a square (7617600 = 2760²).

The spelling of 9200828 in words is "nine million, two hundred thousand, eight hundred twenty-eight".