288972936 has 192 divisors, whose sum is σ = 980553600. Its totient is φ = 74962944.

The previous prime is 288972913. The next prime is 288972941. The reversal of 288972936 is 639279882.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247891 + ... + 249053.

It is an arithmetic number, because the mean of its divisors is an integer number (5107050).

Almost surely, 2^288972936 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 288972936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490276800).

288972936 is an abundant number, since it is smaller than the sum of its proper divisors (691580664).

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

288972936 is a wasteful number, since it uses less digits than its factorization.

288972936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1221 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 288972936 is about 16999.2039813634. The cubic root of 288972936 is about 661.1282629848.

The spelling of 288972936 in words is "two hundred eighty-eight million, nine hundred seventy-two thousand, nine hundred thirty-six".