2528856 has 96 divisors (see below), whose sum is σ = 7787520. Its totient is φ = 734400.

The previous prime is 2528849. The next prime is 2528857. The reversal of 2528856 is 6588252.

It is a super-2 number, since 2×2528856² = 12790225337472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2 + 5⁴ + 2¹⁹ + 8² + 8⁴ + 5⁹ + 6⁶ .

Its product of digits (38400) is a multiple of the sum of its prime divisors (150).

It is a self number, because there is not a number n which added to its sum of digits gives 2528856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2528857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24501 + ... + 24603.

It is an arithmetic number, because the mean of its divisors is an integer number (81120).

2^2528856 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 2528856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3893760).

2528856 is an abundant number, since it is smaller than the sum of its proper divisors (5258664).

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

2528856 is a wasteful number, since it uses less digits than its factorization.

2528856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 150 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 2528856 is about 1590.2377180787. The cubic root of 2528856 is about 136.2410661033.

The spelling of 2528856 in words is "two million, five hundred twenty-eight thousand, eight hundred fifty-six".