288940720 has 80 divisors (see below), whose sum is σ = 704544192. Its totient is φ = 109992960.

The previous prime is 288940681. The next prime is 288940741. The reversal of 288940720 is 27049882.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 686110 + ... + 686530.

Almost surely, 2^288940720 is an apocalyptic number.

288940720 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 288940720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352272096).

288940720 is an abundant number, since it is smaller than the sum of its proper divisors (415603472).

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

288940720 is a wasteful number, since it uses less digits than its factorization.

288940720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 288940720 is about 16998.2563811704. The cubic root of 288940720 is about 661.1036935563.

The spelling of 288940720 in words is "two hundred eighty-eight million, nine hundred forty thousand, seven hundred twenty".