287979048 has 384 divisors, whose sum is σ = 1044576000. Its totient is φ = 69672960.

The previous prime is 287979023. The next prime is 287979061. The reversal of 287979048 is 840979782.

It is a junction number, because it is equal to n+sod(n) for n = 287978985 and 287979003.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4720938 + ... + 4720998.

It is an arithmetic number, because the mean of its divisors is an integer number (2720250).

Almost surely, 2^287979048 is an apocalyptic number.

287979048 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 287979048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522288000).

287979048 is an abundant number, since it is smaller than the sum of its proper divisors (756596952).

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

287979048 is a wasteful number, since it uses less digits than its factorization.

287979048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 287979048 is about 16969.9454330295. The cubic root of 287979048 is about 660.3694350434.

The spelling of 287979048 in words is "two hundred eighty-seven million, nine hundred seventy-nine thousand, forty-eight".