2878832448 has 112 divisors (see below), whose sum is σ = 8558784000. Its totient is φ = 948777984.

The previous prime is 2878832431. The next prime is 2878832459. The reversal of 2878832448 is 8442388782.

It is a super-3 number, since 3×2878832448³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2878832394 and 2878832403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144433 + ... + 163151.

Almost surely, 2^2878832448 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 2878832448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4279392000).

2878832448 is an abundant number, since it is smaller than the sum of its proper divisors (5679951552).

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

2878832448 is a wasteful number, since it uses less digits than its factorization.

2878832448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18829 (or 18813 counting only the distinct ones).

The product of its digits is 5505024, while the sum is 54.

The square root of 2878832448 is about 53654.7523337868. The cubic root of 2878832448 is about 1422.5650338698.

The spelling of 2878832448 in words is "two billion, eight hundred seventy-eight million, eight hundred thirty-two thousand, four hundred forty-eight".