8253828 has 72 divisors (see below), whose sum is σ = 23980320. Its totient is φ = 2367360.

The previous prime is 8253799. The next prime is 8253829. The reversal of 8253828 is 8283528.

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 = 8253792 and 8253801.

It is not an unprimeable number, because it can be changed into a prime (8253829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6976 + ... + 8072.

It is an arithmetic number, because the mean of its divisors is an integer number (333060).

Almost surely, 2^8253828 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 8253828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11990160).

8253828 is an abundant number, since it is smaller than the sum of its proper divisors (15726492).

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

8253828 is a wasteful number, since it uses less digits than its factorization.

8253828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1132 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 8253828 is about 2872.9476152551. The cubic root of 8253828 is about 202.0932484548.

The spelling of 8253828 in words is "eight million, two hundred fifty-three thousand, eight hundred twenty-eight".