287396928 has 168 divisors, whose sum is σ = 1014057408. Its totient is φ = 75783168.

The previous prime is 287396927. The next prime is 287396947. The reversal of 287396928 is 829693782.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (287396927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49675 + ... + 55157.

It is an arithmetic number, because the mean of its divisors is an integer number (6036056).

Almost surely, 2^287396928 is an apocalyptic number.

287396928 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 287396928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507028704).

287396928 is an abundant number, since it is smaller than the sum of its proper divisors (726660480).

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

287396928 is a wasteful number, since it uses less digits than its factorization.

287396928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5521 (or 5508 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 287396928 is about 16952.7852578861. The cubic root of 287396928 is about 659.9241786177.

The spelling of 287396928 in words is "two hundred eighty-seven million, three hundred ninety-six thousand, nine hundred twenty-eight".