287148820 has 72 divisors (see below), whose sum is σ = 707944104. Its totient is φ = 97542144.

The previous prime is 287148817. The next prime is 287148821. The reversal of 287148820 is 28841782.

It can be written as a sum of positive squares in 4 ways, for example, as 659344 + 286489476 = 812^2 + 16926^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287148821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109444 + ... + 112036.

It is an arithmetic number, because the mean of its divisors is an integer number (9832557).

Almost surely, 2^287148820 is an apocalyptic number.

287148820 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 287148820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353972052).

287148820 is an abundant number, since it is smaller than the sum of its proper divisors (420795284).

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

287148820 is a wasteful number, since it uses less digits than its factorization.

287148820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2729 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 40.

The square root of 287148820 is about 16945.4660602770. The cubic root of 287148820 is about 659.7342211162.

The spelling of 287148820 in words is "two hundred eighty-seven million, one hundred forty-eight thousand, eight hundred twenty".