4287545528448 has 1280 divisors, whose sum is σ = 15175027445760. Its totient is φ = 1064022220800.

The previous prime is 4287545528437. The next prime is 4287545528459. The reversal of 4287545528448 is 8448255457824.

It is an interprime number because it is at equal distance from previous prime (4287545528437) and next prime (4287545528459).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28394341173 + ... + 28394341323.

It is an arithmetic number, because the mean of its divisors is an integer number (11855490192).

Almost surely, 2^{4287545528448} is an apocalyptic number.

4287545528448 is a gapful number since it is divisible by the number (48) 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 4287545528448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7587513722880).

4287545528448 is an abundant number, since it is smaller than the sum of its proper divisors (10887481917312).

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

4287545528448 is a wasteful number, since it uses less digits than its factorization.

4287545528448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 302 counting only the distinct ones).

The product of its digits is 458752000, while the sum is 66.

The spelling of 4287545528448 in words is "four trillion, two hundred eighty-seven billion, five hundred forty-five million, five hundred twenty-eight thousand, four hundred forty-eight".