287879454720 has 1344 divisors, whose sum is σ = 1209093709824. Its totient is φ = 62426972160.

The previous prime is 287879454701. The next prime is 287879454727. The reversal of 287879454720 is 27454978782.

287879454720 is a `hidden beast` number, since 2 + 8 + 7 + 87 + 9 + 4 + 547 + 2 + 0 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287879454727) 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, 2266767297 + ... + 2266767423.

It is an arithmetic number, because the mean of its divisors is an integer number (899623296).

Almost surely, 2^287879454720 is an apocalyptic number.

287879454720 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 287879454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604546854912).

287879454720 is an abundant number, since it is smaller than the sum of its proper divisors (921214255104).

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

287879454720 is a wasteful number, since it uses less digits than its factorization.

287879454720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 287879454720 in words is "two hundred eighty-seven billion, eight hundred seventy-nine million, four hundred fifty-four thousand, seven hundred twenty".