7289828 has 36 divisors (see below), whose sum is σ = 15987132. Its totient is φ = 2882880.

The previous prime is 7289819. The next prime is 7289837. The reversal of 7289828 is 8289827.

It is an interprime number because it is at equal distance from previous prime (7289819) and next prime (7289837).

It can be written as a sum of positive squares in 2 ways, for example, as 2458624 + 4831204 = 1568^2 + 2198^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1118 + ... + 3978.

It is an arithmetic number, because the mean of its divisors is an integer number (444087).

Almost surely, 2^7289828 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 7289828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7993566).

7289828 is an abundant number, since it is smaller than the sum of its proper divisors (8697304).

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

7289828 is a wasteful number, since it uses less digits than its factorization.

7289828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892 (or 2883 counting only the distinct ones).

The product of its digits is 129024, while the sum is 44.

The square root of 7289828 is about 2699.9681479603. The cubic root of 7289828 is about 193.8975971412.

Subtracting 7289828 from its reverse (8289827), we obtain a palindrome (999999).

The spelling of 7289828 in words is "seven million, two hundred eighty-nine thousand, eight hundred twenty-eight".