287928648 has 128 divisors (see below), whose sum is σ = 931564800. Its totient is φ = 80690688.

The previous prime is 287928637. The next prime is 287928649. The reversal of 287928648 is 846829782.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 287928594 and 287928603.

It is not an unprimeable number, because it can be changed into a prime (287928649) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 78340 + ... + 81932.

It is an arithmetic number, because the mean of its divisors is an integer number (7277850).

Almost surely, 2^287928648 is an apocalyptic number.

287928648 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 287928648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465782400).

287928648 is an abundant number, since it is smaller than the sum of its proper divisors (643636152).

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

287928648 is a wasteful number, since it uses less digits than its factorization.

287928648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3668 (or 3658 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 287928648 is about 16968.4603897938. The cubic root of 287928648 is about 660.3309084427.

The spelling of 287928648 in words is "two hundred eighty-seven million, nine hundred twenty-eight thousand, six hundred forty-eight".