2812128 has 48 divisors (see below), whose sum is σ = 8055936. Its totient is φ = 851840.

The previous prime is 2812099. The next prime is 2812129. The reversal of 2812128 is 8212182.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 2812098 and 2812107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2812129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276 + ... + 2387.

It is an arithmetic number, because the mean of its divisors is an integer number (167832).

2^2812128 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 2812128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4027968).

2812128 is an abundant number, since it is smaller than the sum of its proper divisors (5243808).

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

2812128 is a wasteful number, since it uses less digits than its factorization.

2812128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2687 (or 2679 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

The square root of 2812128 is about 1676.9400704855. The cubic root of 2812128 is about 141.1491806728.

The spelling of 2812128 in words is "two million, eight hundred twelve thousand, one hundred twenty-eight".