287962328160 has 1152 divisors, whose sum is σ = 1172151751680. Its totient is φ = 63922176000.

The previous prime is 287962328149. The next prime is 287962328219. The reversal of 287962328160 is 61823269782.

287962328160 is a `hidden beast` number, since 2 + 8 + 7 + 9 + 623 + 2 + 8 + 1 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 287962328097 and 287962328106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2851112110 + ... + 2851112210.

It is an arithmetic number, because the mean of its divisors is an integer number (1017492840).

Almost surely, 2^287962328160 is an apocalyptic number.

287962328160 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 287962328160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586075875840).

287962328160 is an abundant number, since it is smaller than the sum of its proper divisors (884189423520).

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

287962328160 is a wasteful number, since it uses less digits than its factorization.

287962328160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 287962328160 in words is "two hundred eighty-seven billion, nine hundred sixty-two million, three hundred twenty-eight thousand, one hundred sixty".