7832128 has 28 divisors (see below), whose sum is σ = 15841980. Its totient is φ = 3840512.

The previous prime is 7832113. The next prime is 7832131. The reversal of 7832128 is 8212387.

It can be written as a sum of positive squares in 2 ways, for example, as 6110784 + 1721344 = 2472^2 + 1312^2 .

It is a super-2 number, since 2×7832128² = 122684458016768, which contains 22 as substring.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 7832128.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2238 + ... + 4546.

It is an arithmetic number, because the mean of its divisors is an integer number (565785).

Almost surely, 2^7832128 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 7832128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7920990).

7832128 is an abundant number, since it is smaller than the sum of its proper divisors (8009852).

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

7832128 is a wasteful number, since it uses less digits than its factorization.

7832128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374 (or 2364 counting only the distinct ones).

The product of its digits is 5376, while the sum is 31.

The square root of 7832128 is about 2798.5939326740. The cubic root of 7832128 is about 198.5911659014.

The spelling of 7832128 in words is "seven million, eight hundred thirty-two thousand, one hundred twenty-eight".