2882628 has 120 divisors (see below), whose sum is σ = 9106944. Its totient is φ = 777600.

The previous prime is 2882609. The next prime is 2882647. The reversal of 2882628 is 8262882.

2882628 is a `hidden beast` number, since 28 + 8 + 2 + 628 = 666.

It is an interprime number because it is at equal distance from previous prime (2882609) and next prime (2882647).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2882592 and 2882601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 70288 + ... + 70328.

2^2882628 is an apocalyptic number.

2882628 is a gapful number since it is divisible by the number (28) 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 2882628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4553472).

2882628 is an abundant number, since it is smaller than the sum of its proper divisors (6224316).

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

2882628 is a wasteful number, since it uses less digits than its factorization.

2882628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 84 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 2882628 is about 1697.8303802206. The cubic root of 2882628 is about 142.3189945585.

It can be divided in two parts, 288 and 2628, that added together give a square (2916 = 54²).

The spelling of 2882628 in words is "two million, eight hundred eighty-two thousand, six hundred twenty-eight".