288769050 has 72 divisors (see below), whose sum is σ = 804594336. Its totient is φ = 77001840.

The previous prime is 288769043. The next prime is 288769051. The reversal of 288769050 is 50967882.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 288768987 and 288769005.

It is not an unprimeable number, because it can be changed into a prime (288769051) 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 35 ways as a sum of consecutive naturals, for example, 267 + ... + 24033.

Almost surely, 2^288769050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288769050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402297168).

288769050 is an abundant number, since it is smaller than the sum of its proper divisors (515825286).

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

288769050 is a wasteful number, since it uses less digits than its factorization.

288769050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23794 (or 23777 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 288769050 is about 16993.2059953383. The cubic root of 288769050 is about 660.9727391804.

The spelling of 288769050 in words is "two hundred eighty-eight million, seven hundred sixty-nine thousand, fifty".