287905968 has 320 divisors, whose sum is σ = 1011840000. Its totient is φ = 78236928.

The previous prime is 287905963. The next prime is 287905979. The reversal of 287905968 is 869509782.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (287905963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4297071 + ... + 4297137.

It is an arithmetic number, because the mean of its divisors is an integer number (3162000).

Almost surely, 2^287905968 is an apocalyptic number.

287905968 is a gapful number since it is divisible by the number (28) 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 287905968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505920000).

287905968 is an abundant number, since it is smaller than the sum of its proper divisors (723934032).

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

287905968 is a wasteful number, since it uses less digits than its factorization.

287905968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 287905968 is about 16967.7920779340. The cubic root of 287905968 is about 660.3135700057.

The spelling of 287905968 in words is "two hundred eighty-seven million, nine hundred five thousand, nine hundred sixty-eight".