2878848 has 192 divisors, whose sum is σ = 10465200. Its totient is φ = 774144.

The previous prime is 2878847. The next prime is 2878849. The reversal of 2878848 is 8488782.

2878848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2878847) and next prime (2878849).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2878847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169336 + ... + 169352.

2^2878848 is an apocalyptic number.

2878848 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 2878848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5232600).

2878848 is an abundant number, since it is smaller than the sum of its proper divisors (7586352).

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

2878848 is a wasteful number, since it uses less digits than its factorization.

2878848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 29 counting only the distinct ones).

The product of its digits is 229376, while the sum is 45.

The square root of 2878848 is about 1696.7168296448. The cubic root of 2878848 is about 142.2567595521.

The spelling of 2878848 in words is "two million, eight hundred seventy-eight thousand, eight hundred forty-eight".