9252828 has 72 divisors (see below), whose sum is σ = 26692848. Its totient is φ = 2677248.

The previous prime is 9252821. The next prime is 9252847. The reversal of 9252828 is 8282529.

It is a super-2 number, since 2×9252828² = 171229651995168, which contains 22 as substring.

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 = 9252792 and 9252801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9252821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7375 + ... + 8537.

It is an arithmetic number, because the mean of its divisors is an integer number (370734).

Almost surely, 2^9252828 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 9252828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13346424).

9252828 is an abundant number, since it is smaller than the sum of its proper divisors (17440020).

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

9252828 is a wasteful number, since it uses less digits than its factorization.

9252828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1198 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 9252828 is about 3041.8461499556. The cubic root of 9252828 is about 209.9382131152.

Subtracting from 9252828 its reverse (8282529), we obtain a cube (970299 = 99³).

The spelling of 9252828 in words is "nine million, two hundred fifty-two thousand, eight hundred twenty-eight".