287328000 has 288 divisors, whose sum is σ = 991029312. Its totient is φ = 73728000.

The previous prime is 287327987. The next prime is 287328007. The reversal of 287328000 is 823782.

It is a super-3 number, since 3×287328000³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287328007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3935964 + ... + 3936036.

It is an arithmetic number, because the mean of its divisors is an integer number (3441074).

Almost surely, 2^287328000 is an apocalyptic number.

287328000 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 287328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495514656).

287328000 is an abundant number, since it is smaller than the sum of its proper divisors (703701312).

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

287328000 is an equidigital number, since it uses as much as digits as its factorization.

287328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 287328000 is about 16950.7521956992. The cubic root of 287328000 is about 659.8714166402.

The spelling of 287328000 in words is "two hundred eighty-seven million, three hundred twenty-eight thousand".