2875628448 has 576 divisors, whose sum is σ = 10868981760. Its totient is φ = 699494400.

The previous prime is 2875628443. The next prime is 2875628453. The reversal of 2875628448 is 8448265782.

2875628448 is a `hidden beast` number, since 2 + 8 + 7 + 5 + 628 + 4 + 4 + 8 = 666.

2875628448 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 (2875628443) and next prime (2875628453).

It is a junction number, because it is equal to n+sod(n) for n = 2875628394 and 2875628403.

It is not an unprimeable number, because it can be changed into a prime (2875628443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32310388 + ... + 32310476.

It is an arithmetic number, because the mean of its divisors is an integer number (18869760).

Almost surely, 2^2875628448 is an apocalyptic number.

2875628448 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 2875628448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5434490880).

2875628448 is an abundant number, since it is smaller than the sum of its proper divisors (7993353312).

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

2875628448 is a wasteful number, since it uses less digits than its factorization.

2875628448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 190 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The square root of 2875628448 is about 53624.8864614183. The cubic root of 2875628448 is about 1422.0370894799.

The spelling of 2875628448 in words is "two billion, eight hundred seventy-five million, six hundred twenty-eight thousand, four hundred forty-eight".