288550080 has 448 divisors, whose sum is σ = 1256263680. Its totient is φ = 60715008.

The previous prime is 288550063. The next prime is 288550103. The reversal of 288550080 is 80055882.

288550080 is a `hidden beast` number, since 28 + 8 + 550 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×288550080³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 786057 + ... + 786423.

It is an arithmetic number, because the mean of its divisors is an integer number (2804160).

Almost surely, 2^288550080 is an apocalyptic number.

288550080 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 288550080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628131840).

288550080 is an abundant number, since it is smaller than the sum of its proper divisors (967713600).

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

288550080 is a wasteful number, since it uses less digits than its factorization.

288550080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 288550080 is about 16986.7619044949. The cubic root of 288550080 is about 660.8056277821.

The spelling of 288550080 in words is "two hundred eighty-eight million, five hundred fifty thousand, eighty".