287368800048 has 240 divisors, whose sum is σ = 892945347840. Its totient is φ = 85542105600.

The previous prime is 287368800023. The next prime is 287368800049. The reversal of 287368800048 is 840008863782.

It is a junction number, because it is equal to n+sod(n) for n = 287368799967 and 287368800003.

It is not an unprimeable number, because it can be changed into a prime (287368800049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31822798 + ... + 31831826.

It is an arithmetic number, because the mean of its divisors is an integer number (3720605616).

Almost surely, 2^287368800048 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 287368800048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446472673920).

287368800048 is an abundant number, since it is smaller than the sum of its proper divisors (605576547792).

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

287368800048 is a wasteful number, since it uses less digits than its factorization.

287368800048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9408 (or 9399 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 287368800048 in words is "two hundred eighty-seven billion, three hundred sixty-eight million, eight hundred thousand, forty-eight".