2828628 has 48 divisors (see below), whose sum is σ = 8003520. Its totient is φ = 856800.

The previous prime is 2828627. The next prime is 2828629. The reversal of 2828628 is 8268282.

2828628 is a `hidden beast` number, since 2 + 8 + 28 + 628 = 666.

It is an interprime number because it is at equal distance from previous prime (2828627) and next prime (2828629).

It is a super-2 number, since 2×2828628² = 16002272724768, which contains 22 as substring.

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 = 2828592 and 2828601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2828627) 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, 3 + ... + 2378.

It is an arithmetic number, because the mean of its divisors is an integer number (166740).

2^2828628 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 2828628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4001760).

2828628 is an abundant number, since it is smaller than the sum of its proper divisors (5174892).

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

2828628 is a wasteful number, since it uses less digits than its factorization.

2828628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2405 (or 2397 counting only the distinct ones).

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

The square root of 2828628 is about 1681.8525500174. The cubic root of 2828628 is about 141.4247040790.

The spelling of 2828628 in words is "two million, eight hundred twenty-eight thousand, six hundred twenty-eight".