7832328 has 64 divisors (see below), whose sum is σ = 23362560. Its totient is φ = 2139456.

The previous prime is 7832327. The next prime is 7832371. The reversal of 7832328 is 8232387.

It is a happy number.

It is a super-2 number, since 2×7832328² = 122690723799168, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (7832327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2851 + ... + 4877.

It is an arithmetic number, because the mean of its divisors is an integer number (365040).

Almost surely, 2^7832328 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 7832328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11681280).

7832328 is an abundant number, since it is smaller than the sum of its proper divisors (15530232).

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

7832328 is a wasteful number, since it uses less digits than its factorization.

7832328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066 (or 2062 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 7832328 is about 2798.6296646752. The cubic root of 7832328 is about 198.5928562847.

The spelling of 7832328 in words is "seven million, eight hundred thirty-two thousand, three hundred twenty-eight".