2786528 has 36 divisors (see below), whose sum is σ = 5771808. Its totient is φ = 1322880.

The previous prime is 2786527. The next prime is 2786551. The reversal of 2786528 is 8256872.

It is a d-powerful number, because it can be written as 2⁸ + 7³ + 8⁶ + 6⁷ + 5⁶ + 2¹⁷ + 8⁷ .

It is a junction number, because it is equal to n+sod(n) for n = 2786491 and 2786500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2786527) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52550 + ... + 52602.

It is an arithmetic number, because the mean of its divisors is an integer number (160328).

2^2786528 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 2786528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885904).

2786528 is an abundant number, since it is smaller than the sum of its proper divisors (2985280).

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

2786528 is an equidigital number, since it uses as much as digits as its factorization.

2786528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 86 counting only the distinct ones).

The product of its digits is 53760, while the sum is 38.

The square root of 2786528 is about 1669.2896692905. The cubic root of 2786528 is about 140.7195606307.

It can be divided in two parts, 278652 and 8, that multiplied together give a triangular number (2229216 = T₂₁₁₁).

The spelling of 2786528 in words is "two million, seven hundred eighty-six thousand, five hundred twenty-eight".