287428680 has 192 divisors, whose sum is σ = 1164758400. Its totient is φ = 59719680.

The previous prime is 287428679. The next prime is 287428681. The reversal of 287428680 is 86824782.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (287428679) and next prime (287428681).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (287428681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22536 + ... + 32904.

It is an arithmetic number, because the mean of its divisors is an integer number (6066450).

Almost surely, 2^287428680 is an apocalyptic number.

287428680 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 287428680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582379200).

287428680 is an abundant number, since it is smaller than the sum of its proper divisors (877329720).

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

287428680 is a wasteful number, since it uses less digits than its factorization.

287428680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10404 (or 10397 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 287428680 is about 16953.7217153049. The cubic root of 287428680 is about 659.9484808270.

The spelling of 287428680 in words is "two hundred eighty-seven million, four hundred twenty-eight thousand, six hundred eighty".