7889728 has 56 divisors (see below), whose sum is σ = 19531584. Its totient is φ = 3072000.

The previous prime is 7889723. The next prime is 7889729. The reversal of 7889728 is 8279887.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7889723) 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, 4128 + ... + 5728.

Almost surely, 2^7889728 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 7889728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9765792).

7889728 is an abundant number, since it is smaller than the sum of its proper divisors (11641856).

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

7889728 is a wasteful number, since it uses less digits than its factorization.

7889728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1621 counting only the distinct ones).

The product of its digits is 451584, while the sum is 49.

The square root of 7889728 is about 2808.8659633382. The cubic root of 7889728 is about 199.0768118415.

The spelling of 7889728 in words is "seven million, eight hundred eighty-nine thousand, seven hundred twenty-eight".