2842128 has 120 divisors (see below), whose sum is σ = 8936928. Its totient is φ = 870912.

The previous prime is 2842127. The next prime is 2842139. The reversal of 2842128 is 8212482.

2842128 = 64³ + 65³ + ... + 72³.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (2842127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66075 + ... + 66117.

2^2842128 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 2842128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4468464).

2842128 is an abundant number, since it is smaller than the sum of its proper divisors (6094800).

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

2842128 is a wasteful number, since it uses less digits than its factorization.

2842128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 65 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 2842128 is about 1685.8612042514. The cubic root of 2842128 is about 141.6493364422.

The spelling of 2842128 in words is "two million, eight hundred forty-two thousand, one hundred twenty-eight".