7005728 has 48 divisors (see below), whose sum is σ = 14545944. Its totient is φ = 3317760.

The previous prime is 7005727. The next prime is 7005743. The reversal of 7005728 is 8275007.

It can be written as a sum of positive squares in 4 ways, for example, as 5438224 + 1567504 = 2332^2 + 1252^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7005728.

It is not an unprimeable number, because it can be changed into a prime (7005727) 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, 72176 + ... + 72272.

Almost surely, 2^7005728 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 7005728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7272972).

7005728 is an abundant number, since it is smaller than the sum of its proper divisors (7540216).

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

7005728 is a wasteful number, since it uses less digits than its factorization.

7005728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 7005728 is about 2646.8335799593. The cubic root of 7005728 is about 191.3452815270.

The spelling of 7005728 in words is "seven million, five thousand, seven hundred twenty-eight".