287257152 has 224 divisors, whose sum is σ = 960632064. Its totient is φ = 73728000.

The previous prime is 287257123. The next prime is 287257153. The reversal of 287257152 is 251752782.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×287257152² = 165033342750302208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 287257152.

It is not an unprimeable number, because it can be changed into a prime (287257153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 716152 + ... + 716552.

It is an arithmetic number, because the mean of its divisors is an integer number (4288536).

Almost surely, 2^287257152 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 287257152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480316032).

287257152 is an abundant number, since it is smaller than the sum of its proper divisors (673374912).

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

287257152 is a wasteful number, since it uses less digits than its factorization.

287257152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 467 counting only the distinct ones).

The product of its digits is 78400, while the sum is 39.

The square root of 287257152 is about 16948.6622480950. The cubic root of 287257152 is about 659.8171761750.

The spelling of 287257152 in words is "two hundred eighty-seven million, two hundred fifty-seven thousand, one hundred fifty-two".