7282828 has 24 divisors (see below), whose sum is σ = 15069600. Its totient is φ = 3013248.

The previous prime is 7282823. The next prime is 7282831. The reversal of 7282828 is 8282827.

7282828 = 1017² + 1018² + ... + 1023².

7282828 is a modest number, since divided by 2828 gives 728 as remainder.

It is not an unprimeable number, because it can be changed into a prime (7282823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3673 + ... + 5296.

It is an arithmetic number, because the mean of its divisors is an integer number (627900).

Almost surely, 2^7282828 is an apocalyptic number.

It is an amenable number.

7282828 is an abundant number, since it is smaller than the sum of its proper divisors (7786772).

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

7282828 is a wasteful number, since it uses less digits than its factorization.

7282828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9009 (or 9007 counting only the distinct ones).

The product of its digits is 28672, while the sum is 37.

The square root of 7282828 is about 2698.6715250286. The cubic root of 7282828 is about 193.8355143846.

Subtracting 7282828 from its reverse (8282827), we obtain a palindrome (999999).

It can be divided in two parts, 72828 and 28, that multiplied together give a square (2039184 = 1428²).

The spelling of 7282828 in words is "seven million, two hundred eighty-two thousand, eight hundred twenty-eight".