288083796 has 192 divisors, whose sum is σ = 934778880. Its totient is φ = 66608640.

The previous prime is 288083777. The next prime is 288083797. The reversal of 288083796 is 697380882.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288083797) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 347935 + ... + 348761.

It is an arithmetic number, because the mean of its divisors is an integer number (4868640).

Almost surely, 2^288083796 is an apocalyptic number.

288083796 is a gapful number since it is divisible by the number (26) 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 288083796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467389440).

288083796 is an abundant number, since it is smaller than the sum of its proper divisors (646695084).

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

288083796 is a wasteful number, since it uses less digits than its factorization.

288083796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 288083796 is about 16973.0314322457. The cubic root of 288083796 is about 660.4494917848.

The spelling of 288083796 in words is "two hundred eighty-eight million, eighty-three thousand, seven hundred ninety-six".