288363680 has 96 divisors (see below), whose sum is σ = 756060480. Its totient is φ = 103045120.

The previous prime is 288363671. The next prime is 288363697. The reversal of 288363680 is 86363882.

It is a super-2 number, since 2×288363680² = 166307223886284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102452 + ... + 105228.

It is an arithmetic number, because the mean of its divisors is an integer number (7875630).

Almost surely, 2^288363680 is an apocalyptic number.

288363680 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 288363680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378030240).

288363680 is an abundant number, since it is smaller than the sum of its proper divisors (467696800).

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

288363680 is a wasteful number, since it uses less digits than its factorization.

288363680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2862 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The square root of 288363680 is about 16981.2743926950. The cubic root of 288363680 is about 660.6633062117.

The spelling of 288363680 in words is "two hundred eighty-eight million, three hundred sixty-three thousand, six hundred eighty".