287302080 has 112 divisors (see below), whose sum is σ = 982394784. Its totient is φ = 70717440.

The previous prime is 287302073. The next prime is 287302109. The reversal of 287302080 is 80203782.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 970 + ... + 23990.

It is an arithmetic number, because the mean of its divisors is an integer number (8771382).

Almost surely, 2^287302080 is an apocalyptic number.

287302080 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 287302080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491197392).

287302080 is an abundant number, since it is smaller than the sum of its proper divisors (695092704).

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

287302080 is a wasteful number, since it uses less digits than its factorization.

287302080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23054 (or 23044 counting only the distinct ones).

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

The square root of 287302080 is about 16949.9876106149. The cubic root of 287302080 is about 659.8515736020.

The spelling of 287302080 in words is "two hundred eighty-seven million, three hundred two thousand, eighty".