2880828 has 36 divisors (see below), whose sum is σ = 7455448. Its totient is φ = 937440.

The previous prime is 2880827. The next prime is 2880851. The reversal of 2880828 is 8280882.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 2880792 and 2880801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2880827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 618 + ... + 2478.

2^2880828 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 2880828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3727724).

2880828 is an abundant number, since it is smaller than the sum of its proper divisors (4574620).

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

2880828 is a wasteful number, since it uses less digits than its factorization.

2880828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 2880828 is about 1697.3002091557. The cubic root of 2880828 is about 142.2893656308.

The spelling of 2880828 in words is "two million, eight hundred eighty thousand, eight hundred twenty-eight".