288794436 has 144 divisors (see below), whose sum is σ = 839776896. Its totient is φ = 76747776.

The previous prime is 288794423. The next prime is 288794437. The reversal of 288794436 is 634497882.

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (2322432) is a multiple of the sum of its prime factors (378).

It is not an unprimeable number, because it can be changed into a prime (288794437) 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 47 ways as a sum of consecutive naturals, for example, 1669246 + ... + 1669418.

It is an arithmetic number, because the mean of its divisors is an integer number (5831784).

Almost surely, 2^288794436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288794436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419888448).

288794436 is an abundant number, since it is smaller than the sum of its proper divisors (550982460).

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

288794436 is a wasteful number, since it uses less digits than its factorization.

288794436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 369 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The square root of 288794436 is about 16993.9529244964. The cubic root of 288794436 is about 660.9921075560.

The spelling of 288794436 in words is "two hundred eighty-eight million, seven hundred ninety-four thousand, four hundred thirty-six".