7003728 has 60 divisors (see below), whose sum is σ = 20760948. Its totient is φ = 2196480.

The previous prime is 7003727. The next prime is 7003729. The reversal of 7003728 is 8273007.

It is an interprime number because it is at equal distance from previous prime (7003727) and next prime (7003729).

It can be written as a sum of positive squares in 2 ways, for example, as 4717584 + 2286144 = 2172^2 + 1512^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7003721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1018 + ... + 3878.

Almost surely, 2^7003728 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 7003728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10380474).

7003728 is an abundant number, since it is smaller than the sum of its proper divisors (13757220).

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

7003728 is a wasteful number, since it uses less digits than its factorization.

7003728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 2883 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 7003728 is about 2646.4557430647. The cubic root of 7003728 is about 191.3270713336.

The spelling of 7003728 in words is "seven million, three thousand, seven hundred twenty-eight".