2828448 has 144 divisors (see below), whose sum is σ = 9749376. Its totient is φ = 760320.

The previous prime is 2828431. The next prime is 2828453. The reversal of 2828448 is 8448282.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46338 + ... + 46398.

It is an arithmetic number, because the mean of its divisors is an integer number (67704).

2^2828448 is an apocalyptic number.

2828448 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2828448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874688).

2828448 is an abundant number, since it is smaller than the sum of its proper divisors (6920928).

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

2828448 is a wasteful number, since it uses less digits than its factorization.

2828448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 96 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 2828448 is about 1681.7990367461. The cubic root of 2828448 is about 141.4217041574.

The spelling of 2828448 in words is "two million, eight hundred twenty-eight thousand, four hundred forty-eight".