288061920 has 288 divisors, whose sum is σ = 1056706560. Its totient is φ = 74027520.

The previous prime is 288061903. The next prime is 288061927. The reversal of 288061920 is 29160882.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288061927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1205161 + ... + 1205399.

It is an arithmetic number, because the mean of its divisors is an integer number (3669120).

Almost surely, 2^288061920 is an apocalyptic number.

288061920 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 288061920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528353280).

288061920 is an abundant number, since it is smaller than the sum of its proper divisors (768644640).

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

288061920 is a wasteful number, since it uses less digits than its factorization.

288061920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 288061920 is about 16972.3869859251. The cubic root of 288061920 is about 660.4327740114.

The spelling of 288061920 in words is "two hundred eighty-eight million, sixty-one thousand, nine hundred twenty".