287904008 has 36 divisors (see below), whose sum is σ = 628687485. Its totient is φ = 123243456.

The previous prime is 287904007. The next prime is 287904013. The reversal of 287904008 is 800409782.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 218980804 + 68923204 = 14798^2 + 8302^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=11998.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (287904007) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 335516 + ... + 336372.

Almost surely, 2^287904008 is an apocalyptic number.

287904008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

287904008 is an abundant number, since it is smaller than the sum of its proper divisors (340783477).

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

287904008 is an frugal number, since it uses more digits than its factorization.

287904008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 287904008 is about 16967.7343213524. The cubic root of 287904008 is about 660.3120715795.

The spelling of 287904008 in words is "two hundred eighty-seven million, nine hundred four thousand, eight".