287253120 has 512 divisors, whose sum is σ = 1198540800. Its totient is φ = 56770560.

The previous prime is 287253073. The next prime is 287253121. The reversal of 287253120 is 21352782.

287253120 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287253121) 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, 4287327 + ... + 4287393.

It is an arithmetic number, because the mean of its divisors is an integer number (2340900).

Almost surely, 2^287253120 is an apocalyptic number.

287253120 is a gapful number since it is divisible by the number (20) 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 287253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599270400).

287253120 is an abundant number, since it is smaller than the sum of its proper divisors (911287680).

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

287253120 is a wasteful number, since it uses less digits than its factorization.

287253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 287253120 is about 16948.5433002367. The cubic root of 287253120 is about 659.8140890511.

The spelling of 287253120 in words is "two hundred eighty-seven million, two hundred fifty-three thousand, one hundred twenty".