2833128 has 72 divisors (see below), whose sum is σ = 8172450. Its totient is φ = 886464.

The previous prime is 2833123. The next prime is 2833133. The reversal of 2833128 is 8213382.

It is an interprime number because it is at equal distance from previous prime (2833123) and next prime (2833133).

It can be written as a sum of positive squares in only one way, i.e., 2196324 + 636804 = 1482^2 + 798^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2833128² = 16053228528768, 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 (2833123) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25938 + ... + 26046.

2^2833128 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 2833128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4086225).

2833128 is an abundant number, since it is smaller than the sum of its proper divisors (5339322).

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

2833128 is a wasteful number, since it uses less digits than its factorization.

2833128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 133 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 2833128 is about 1683.1898288666. The cubic root of 2833128 is about 141.4996607932.

The spelling of 2833128 in words is "two million, eight hundred thirty-three thousand, one hundred twenty-eight".