287738832 has 80 divisors (see below), whose sum is σ = 779378688. Its totient is φ = 91301760.

The previous prime is 287738819. The next prime is 287738833. The reversal of 287738832 is 238837782.

287738832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287738833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289857 + ... + 290847.

Almost surely, 2^287738832 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 287738832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389689344).

287738832 is an abundant number, since it is smaller than the sum of its proper divisors (491639856).

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

287738832 is a wasteful number, since it uses less digits than its factorization.

287738832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1282 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The square root of 287738832 is about 16962.8662672321. The cubic root of 287738832 is about 660.1857695616.

The spelling of 287738832 in words is "two hundred eighty-seven million, seven hundred thirty-eight thousand, eight hundred thirty-two".