288905120 has 192 divisors, whose sum is σ = 825624576. Its totient is φ = 93450240.

The previous prime is 288905107. The next prime is 288905131. The reversal of 288905120 is 21509882.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1840082 + ... + 1840238.

It is an arithmetic number, because the mean of its divisors is an integer number (4300128).

Almost surely, 2^288905120 is an apocalyptic number.

288905120 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 288905120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412812288).

288905120 is an abundant number, since it is smaller than the sum of its proper divisors (536719456).

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

288905120 is a wasteful number, since it uses less digits than its factorization.

288905120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 288905120 is about 16997.2091826864. The cubic root of 288905120 is about 661.0765412069.

The spelling of 288905120 in words is "two hundred eighty-eight million, nine hundred five thousand, one hundred twenty".