7904728 has 48 divisors (see below), whose sum is σ = 17020080. Its totient is φ = 3420672.

The previous prime is 7904723. The next prime is 7904731. The reversal of 7904728 is 8274097.

It is a happy number.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7904723) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 29925 + ... + 30187.

It is an arithmetic number, because the mean of its divisors is an integer number (354585).

Almost surely, 2^7904728 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 7904728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8510040).

7904728 is an abundant number, since it is smaller than the sum of its proper divisors (9115352).

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

7904728 is a wasteful number, since it uses less digits than its factorization.

7904728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 7904728 is about 2811.5348121622. The cubic root of 7904728 is about 199.2028939973.

The spelling of 7904728 in words is "seven million, nine hundred four thousand, seven hundred twenty-eight".