288720348 has 72 divisors (see below), whose sum is σ = 787070592. Its totient is φ = 82133856.

The previous prime is 288720343. The next prime is 288720349. The reversal of 288720348 is 843027882.

288720348 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×288720348² = 166718878698482208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288720343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153711 + ... + 155577.

It is an arithmetic number, because the mean of its divisors is an integer number (10931536).

Almost surely, 2^288720348 is an apocalyptic number.

288720348 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 288720348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393535296).

288720348 is an abundant number, since it is smaller than the sum of its proper divisors (498350244).

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

288720348 is a wasteful number, since it uses less digits than its factorization.

288720348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 288720348 is about 16991.7729504605. The cubic root of 288720348 is about 660.9355785680.

The spelling of 288720348 in words is "two hundred eighty-eight million, seven hundred twenty thousand, three hundred forty-eight".