287625920 has 56 divisors (see below), whose sum is σ = 687829968. Its totient is φ = 114560000.

The previous prime is 287625911. The next prime is 287625929. The reversal of 287625920 is 29526782.

It is an interprime number because it is at equal distance from previous prime (287625911) and next prime (287625929).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287625929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78530 + ... + 82110.

It is an arithmetic number, because the mean of its divisors is an integer number (12282678).

Almost surely, 2^287625920 is an apocalyptic number.

287625920 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 287625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343914984).

287625920 is an abundant number, since it is smaller than the sum of its proper divisors (400204048).

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

287625920 is a wasteful number, since it uses less digits than its factorization.

287625920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3849 (or 3839 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 287625920 is about 16959.5377295491. The cubic root of 287625920 is about 660.0994034547.

The spelling of 287625920 in words is "two hundred eighty-seven million, six hundred twenty-five thousand, nine hundred twenty".