2827528 has 48 divisors (see below), whose sum is σ = 6128640. Its totient is φ = 1219680.

The previous prime is 2827519. The next prime is 2827547. The reversal of 2827528 is 8257282.

2827528 is nontrivially palindromic in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 2827493 and 2827502.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22201 + ... + 22327.

It is an arithmetic number, because the mean of its divisors is an integer number (127680).

2^2827528 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 2827528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064320).

2827528 is an abundant number, since it is smaller than the sum of its proper divisors (3301112).

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

2827528 is a wasteful number, since it uses less digits than its factorization.

2827528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 163 counting only the distinct ones).

The product of its digits is 17920, while the sum is 34.

The square root of 2827528 is about 1681.5254978739. The cubic root of 2827528 is about 141.4063692367.

It can be divided in two parts, 282752 and 8, that multiplied together give a square (2262016 = 1504²).

The spelling of 2827528 in words is "two million, eight hundred twenty-seven thousand, five hundred twenty-eight".