287915232 has 96 divisors (see below), whose sum is σ = 842171904. Its totient is φ = 85376000.

The previous prime is 287915231. The next prime is 287915261. The reversal of 287915232 is 232519782.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×287915232² = 165790361635227648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287915231) 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, 46732 + ... + 52532.

It is an arithmetic number, because the mean of its divisors is an integer number (8772624).

Almost surely, 2^287915232 is an apocalyptic number.

287915232 is a gapful number since it is divisible by the number (22) 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 287915232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421085952).

287915232 is an abundant number, since it is smaller than the sum of its proper divisors (554256672).

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

287915232 is a wasteful number, since it uses less digits than its factorization.

287915232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5872 (or 5864 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 287915232 is about 16968.0650635245. The cubic root of 287915232 is about 660.3206522709.

It can be divided in two parts, 287 and 915232, that added together give a palindrome (915519).

The spelling of 287915232 in words is "two hundred eighty-seven million, nine hundred fifteen thousand, two hundred thirty-two".