287642880 has 576 divisors, whose sum is σ = 1236211200. Its totient is φ = 61931520.

The previous prime is 287642863. The next prime is 287642903. The reversal of 287642880 is 88246782.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7015660 + ... + 7015700.

It is an arithmetic number, because the mean of its divisors is an integer number (2146200).

Almost surely, 2^287642880 is an apocalyptic number.

287642880 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 287642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618105600).

287642880 is an abundant number, since it is smaller than the sum of its proper divisors (948568320).

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

287642880 is a wasteful number, since it uses less digits than its factorization.

287642880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 87 counting only the distinct ones).

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

The square root of 287642880 is about 16960.0377358071. The cubic root of 287642880 is about 660.1123775587.

The spelling of 287642880 in words is "two hundred eighty-seven million, six hundred forty-two thousand, eight hundred eighty".