7895328 has 96 divisors (see below), whose sum is σ = 24514560. Its totient is φ = 2177280.

The previous prime is 7895311. The next prime is 7895333. The reversal of 7895328 is 8235987.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a d-powerful number, because it can be written as 7⁸ + 8³ + 9 + 5 + 3⁴ + 2²¹ + 8⁵ .

It is a self number, because there is not a number n which added to its sum of digits gives 7895328.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20643 + ... + 21021.

It is an arithmetic number, because the mean of its divisors is an integer number (255360).

Almost surely, 2^7895328 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 7895328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12257280).

7895328 is an abundant number, since it is smaller than the sum of its proper divisors (16619232).

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

7895328 is a wasteful number, since it uses less digits than its factorization.

7895328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 422 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 7895328 is about 2809.8626300942. The cubic root of 7895328 is about 199.1239011915.

The spelling of 7895328 in words is "seven million, eight hundred ninety-five thousand, three hundred twenty-eight".