287628 has 24 divisors (see below), whose sum is σ = 732480. Its totient is φ = 87120.

The previous prime is 287611. The next prime is 287629. The reversal of 287628 is 826782.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 287628.

It is not an unprimeable number, because it can be changed into a prime (287629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 958 + ... + 1221.

It is an arithmetic number, because the mean of its divisors is an integer number (30520).

2²⁸⁷⁶²⁸ is an apocalyptic number.

It is an amenable number.

287628 is an abundant number, since it is smaller than the sum of its proper divisors (444852).

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

287628 is a wasteful number, since it uses less digits than its factorization.

287628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2195 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 287628 is about 536.3096120712. The cubic root of 287628 is about 66.0100994646.

Adding to 287628 its sum of digits (33), we get a triangular number (287661 = T₇₅₈).

The spelling of 287628 in words is "two hundred eighty-seven thousand, six hundred twenty-eight".