288798720 has 384 divisors, whose sum is σ = 1132185600. Its totient is φ = 61341696.

The previous prime is 288798701. The next prime is 288798721. The reversal of 288798720 is 27897882.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288798721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3655641 + ... + 3655719.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2^288798720 is an apocalyptic number.

288798720 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 288798720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566092800).

288798720 is an abundant number, since it is smaller than the sum of its proper divisors (843386880).

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

288798720 is a wasteful number, since it uses less digits than its factorization.

288798720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The square root of 288798720 is about 16994.0789688644. The cubic root of 288798720 is about 660.9953759433.

The spelling of 288798720 in words is "two hundred eighty-eight million, seven hundred ninety-eight thousand, seven hundred twenty".