2832000 has 128 divisors (see below), whose sum is σ = 9547200. Its totient is φ = 742400.

The previous prime is 2831999. The next prime is 2832001. The reversal of 2832000 is 2382.

It is an interprime number because it is at equal distance from previous prime (2831999) and next prime (2832001).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2832001) 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, 47971 + ... + 48029.

2^2832000 is an apocalyptic number.

2832000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4773600).

2832000 is an abundant number, since it is smaller than the sum of its proper divisors (6715200).

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

2832000 is an equidigital number, since it uses as much as digits as its factorization.

2832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2832000 is about 1682.8547174370. The cubic root of 2832000 is about 141.4808791021.

Adding to 2832000 its reverse (2382), we get a palindrome (2834382).

The spelling of 2832000 in words is "two million, eight hundred thirty-two thousand".