2892448 has 48 divisors (see below), whose sum is σ = 6509160. Its totient is φ = 1253376.

The previous prime is 2892419. The next prime is 2892473. The reversal of 2892448 is 8442982.

It can be written as a sum of positive squares in 4 ways, for example, as 2782224 + 110224 = 1668^2 + 332^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6868 + ... + 7276.

2^2892448 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 2892448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3254580).

2892448 is an abundant number, since it is smaller than the sum of its proper divisors (3616712).

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

2892448 is a wasteful number, since it uses less digits than its factorization.

2892448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 441 counting only the distinct ones).

The product of its digits is 36864, while the sum is 37.

The square root of 2892448 is about 1700.7198475940. The cubic root of 2892448 is about 142.4804200039.

It can be divided in two parts, 2 and 892448, that multiplied together give a square (1784896 = 1336²).

The spelling of 2892448 in words is "two million, eight hundred ninety-two thousand, four hundred forty-eight".