287742393120 has 384 divisors, whose sum is σ = 1174271938560. Its totient is φ = 57515028480.

The previous prime is 287742393077. The next prime is 287742393131. The reversal of 287742393120 is 21393247782.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 287742393120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 656565 + ... + 1003275.

It is an arithmetic number, because the mean of its divisors is an integer number (3057999840).

Almost surely, 2^287742393120 is an apocalyptic number.

287742393120 is a gapful number since it is divisible by the number (20) 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 287742393120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587135969280).

287742393120 is an abundant number, since it is smaller than the sum of its proper divisors (886529545440).

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

287742393120 is a wasteful number, since it uses less digits than its factorization.

287742393120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346768 (or 346760 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 287742393120 in words is "two hundred eighty-seven billion, seven hundred forty-two million, three hundred ninety-three thousand, one hundred twenty".