287680148 has 48 divisors (see below), whose sum is σ = 598545024. Its totient is φ = 118419840.

The previous prime is 287680147. The next prime is 287680157. The reversal of 287680148 is 841086782.

It is a junction number, because it is equal to n+sod(n) for n = 287680099 and 287680108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287680147) 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, 71486 + ... + 75402.

It is an arithmetic number, because the mean of its divisors is an integer number (12469688).

Almost surely, 2^287680148 is an apocalyptic number.

287680148 is a gapful number since it is divisible by the number (28) 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 287680148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299272512).

287680148 is an abundant number, since it is smaller than the sum of its proper divisors (310864876).

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

287680148 is a wasteful number, since it uses less digits than its factorization.

287680148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4032 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 44.

The square root of 287680148 is about 16961.1364006071. The cubic root of 287680148 is about 660.1408851369.

The spelling of 287680148 in words is "two hundred eighty-seven million, six hundred eighty thousand, one hundred forty-eight".