288423552100 has 72 divisors (see below), whose sum is σ = 663602479848. Its totient is φ = 108434380800.

The previous prime is 288423552091. The next prime is 288423552149. The reversal of 288423552100 is 1255324882.

It can be written as a sum of positive squares in 12 ways, for example, as 25810350336 + 262613201764 = 160656^2 + 512458^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1130370 + ... + 1361830.

It is an arithmetic number, because the mean of its divisors is an integer number (9216701109).

Almost surely, 2^288423552100 is an apocalyptic number.

288423552100 is a gapful number since it is divisible by the number (20) 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 288423552100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331801239924).

288423552100 is an abundant number, since it is smaller than the sum of its proper divisors (375178927748).

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

288423552100 is a wasteful number, since it uses less digits than its factorization.

288423552100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232225 (or 232218 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

Adding to 288423552100 its reverse (1255324882), we get a palindrome (289678876982).

The spelling of 288423552100 in words is "two hundred eighty-eight billion, four hundred twenty-three million, five hundred fifty-two thousand, one hundred".