287839680 has 224 divisors, whose sum is σ = 958583808. Its totient is φ = 73113600.

The previous prime is 287839637. The next prime is 287839711. The reversal of 287839680 is 86938782.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2794509 + ... + 2794611.

It is an arithmetic number, because the mean of its divisors is an integer number (4279392).

Almost surely, 2^287839680 is an apocalyptic number.

287839680 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 287839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479291904).

287839680 is an abundant number, since it is smaller than the sum of its proper divisors (670744128).

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

287839680 is a wasteful number, since it uses less digits than its factorization.

287839680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 287839680 is about 16965.8386176458. The cubic root of 287839680 is about 660.2628888452.

The spelling of 287839680 in words is "two hundred eighty-seven million, eight hundred thirty-nine thousand, six hundred eighty".