288412488 has 320 divisors, whose sum is σ = 1022904960. Its totient is φ = 73903104.

The previous prime is 288412477. The next prime is 288412493. The reversal of 288412488 is 884214882.

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 3950820 + ... + 3950892.

It is an arithmetic number, because the mean of its divisors is an integer number (3196578).

Almost surely, 2^288412488 is an apocalyptic number.

288412488 is a gapful number since it is divisible by the number (28) 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 288412488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511452480).

288412488 is an abundant number, since it is smaller than the sum of its proper divisors (734492472).

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

288412488 is a wasteful number, since it uses less digits than its factorization.

288412488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 165 counting only the distinct ones).

The product of its digits is 262144, while the sum is 45.

The square root of 288412488 is about 16982.7114442895. The cubic root of 288412488 is about 660.7005783993.

It can be divided in two parts, 28841 and 2488, that added together give a square (31329 = 177²).

The spelling of 288412488 in words is "two hundred eighty-eight million, four hundred twelve thousand, four hundred eighty-eight".