2838528 has 156 divisors (see below), whose sum is σ = 10222368. Its totient is φ = 737280.

The previous prime is 2838487. The next prime is 2838547. The reversal of 2838528 is 8258382.

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

Its product of digits (30720) is a multiple of the sum of its prime factors (48).

It is a junction number, because it is equal to n+sod(n) for n = 2838492 and 2838501.

It is a congruent number.

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, 258043 + ... + 258053.

It is an arithmetic number, because the mean of its divisors is an integer number (65528).

2^2838528 is an apocalyptic number.

2838528 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

2838528 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2838528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5111184).

2838528 is an abundant number, since it is smaller than the sum of its proper divisors (7383840).

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

2838528 is a wasteful number, since it uses less digits than its factorization.

2838528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 23 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 2838528 is about 1684.7931623793. The cubic root of 2838528 is about 141.5895041536.

The spelling of 2838528 in words is "two million, eight hundred thirty-eight thousand, five hundred twenty-eight".