287006328 has 288 divisors, whose sum is σ = 985944960. Its totient is φ = 77837760.

The previous prime is 287006311. The next prime is 287006329. The reversal of 287006328 is 823600782.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 287006292 and 287006301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287006329) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2190823 + ... + 2190953.

It is an arithmetic number, because the mean of its divisors is an integer number (3423420).

Almost surely, 2^287006328 is an apocalyptic number.

287006328 is a gapful number since it is divisible by the number (28) 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 287006328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492972480).

287006328 is an abundant number, since it is smaller than the sum of its proper divisors (698938632).

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

287006328 is a wasteful number, since it uses less digits than its factorization.

287006328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 287006328 is about 16941.2611100827. The cubic root of 287006328 is about 659.6250763151.

The spelling of 287006328 in words is "two hundred eighty-seven million, six thousand, three hundred twenty-eight".