288728544 has 192 divisors, whose sum is σ = 894136320. Its totient is φ = 80732160.

The previous prime is 288728543. The next prime is 288728633. The reversal of 288728544 is 445827882.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 288728493 and 288728502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288728543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 657477 + ... + 657915.

It is an arithmetic number, because the mean of its divisors is an integer number (4656960).

Almost surely, 2^288728544 is an apocalyptic number.

288728544 is a gapful number since it is divisible by the number (24) 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 288728544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447068160).

288728544 is an abundant number, since it is smaller than the sum of its proper divisors (605407776).

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

288728544 is a wasteful number, since it uses less digits than its factorization.

288728544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 505 counting only the distinct ones).

The product of its digits is 1146880, while the sum is 48.

The square root of 288728544 is about 16992.0141242879. The cubic root of 288728544 is about 660.9418325745.

The spelling of 288728544 in words is "two hundred eighty-eight million, seven hundred twenty-eight thousand, five hundred forty-four".