2828288 has 24 divisors (see below), whose sum is σ = 5659290. Its totient is φ = 1413120.

The previous prime is 2828281. The next prime is 2828291. The reversal of 2828288 is 8828282.

It can be written as a sum of positive squares in only one way, i.e., 2458624 + 369664 = 1568^2 + 608^2 .

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 (2828281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1358 + ... + 2738.

2^2828288 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 2828288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2829645).

2828288 is an abundant number, since it is smaller than the sum of its proper divisors (2831002).

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

2828288 is an equidigital number, since it uses as much as digits as its factorization.

2828288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1383 counting only the distinct ones).

The product of its digits is 32768, while the sum is 38.

The square root of 2828288 is about 1681.7514679643. The cubic root of 2828288 is about 141.4190374535.

The spelling of 2828288 in words is "two million, eight hundred twenty-eight thousand, two hundred eighty-eight".