2828520 has 112 divisors (see below), whose sum is σ = 9640260. Its totient is φ = 746496.

The previous prime is 2828491. The next prime is 2828521. The reversal of 2828520 is 258282.

It can be written as a sum of positive squares in 2 ways, for example, as 2802276 + 26244 = 1674^2 + 162^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2828521) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 29112 + ... + 29208.

2^2828520 is an apocalyptic number.

2828520 is a gapful number since it is divisible by the number (20) 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 2828520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4820130).

2828520 is an abundant number, since it is smaller than the sum of its proper divisors (6811740).

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

2828520 is an equidigital number, since it uses as much as digits as its factorization.

2828520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2828520 is about 1681.8204422589. The cubic root of 2828520 is about 141.4229041413.

The spelling of 2828520 in words is "two million, eight hundred twenty-eight thousand, five hundred twenty".