7882728 has 48 divisors (see below), whose sum is σ = 22927680. Its totient is φ = 2251872.

The previous prime is 7882727. The next prime is 7882729. The reversal of 7882728 is 8272887.

7882728 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7882727) and next prime (7882729).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 7882728.

It is not an unprimeable number, because it can be changed into a prime (7882727) 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, 2176 + ... + 4527.

It is an arithmetic number, because the mean of its divisors is an integer number (477660).

Almost surely, 2^7882728 is an apocalyptic number.

It is an amenable number.

7882728 is an abundant number, since it is smaller than the sum of its proper divisors (15044952).

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

7882728 is a wasteful number, since it uses less digits than its factorization.

7882728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6726 (or 6715 counting only the distinct ones).

The product of its digits is 100352, while the sum is 42.

The square root of 7882728 is about 2807.6196323576. The cubic root of 7882728 is about 199.0179188094.

The spelling of 7882728 in words is "seven million, eight hundred eighty-two thousand, seven hundred twenty-eight".