7828304 has 40 divisors (see below), whose sum is σ = 17424480. Its totient is φ = 3369600.

The previous prime is 7828291. The next prime is 7828319. The reversal of 7828304 is 4038287.

It is a super-2 number, since 2×7828304² = 122564687032832, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2174 + ... + 4514.

It is an arithmetic number, because the mean of its divisors is an integer number (435612).

Almost surely, 2^7828304 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 7828304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8712240).

7828304 is an abundant number, since it is smaller than the sum of its proper divisors (9596176).

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

7828304 is a wasteful number, since it uses less digits than its factorization.

7828304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 7828304 is about 2797.9106490380. The cubic root of 7828304 is about 198.5588402360.

It can be divided in two parts, 78 and 28304, that added together give a palindrome (28382).

The spelling of 7828304 in words is "seven million, eight hundred twenty-eight thousand, three hundred four".