288728 has 32 divisors (see below), whose sum is σ = 628560. Its totient is φ = 122880.

The previous prime is 288697. The next prime is 288731. The reversal of 288728 is 827882.

288728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 3.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288728.

It is an unprimeable number.

288728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1400 + ... + 1592.

2²⁸⁸⁷²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314280).

288728 is an abundant number, since it is smaller than the sum of its proper divisors (339832).

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

288728 is a wasteful number, since it uses less digits than its factorization.

288728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 223 counting only the distinct ones).

The product of its digits is 14336, while the sum is 35.

The square root of 288728 is about 537.3341604626. The cubic root of 288728 is about 66.0941417476.

The spelling of 288728 in words is "two hundred eighty-eight thousand, seven hundred twenty-eight".