7296828 has 96 divisors (see below), whose sum is σ = 21772800. Its totient is φ = 1847040.

The previous prime is 7296827. The next prime is 7296841. The reversal of 7296828 is 8286927.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 7296828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7296827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48898 + ... + 49046.

It is an arithmetic number, because the mean of its divisors is an integer number (226800).

Almost surely, 2^7296828 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 7296828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10886400).

7296828 is an abundant number, since it is smaller than the sum of its proper divisors (14475972).

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

7296828 is a wasteful number, since it uses less digits than its factorization.

7296828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 225 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 7296828 is about 2701.2641485053. The cubic root of 7296828 is about 193.9596401675.

Subtracting 7296828 from its reverse (8286927), we obtain a palindrome (990099).

It can be divided in two parts, 729 and 6828, that added together give a palindrome (7557).

The spelling of 7296828 in words is "seven million, two hundred ninety-six thousand, eight hundred twenty-eight".