288288000 has 864 divisors, whose sum is σ = 1392797952. Its totient is φ = 55296000.

The previous prime is 288287963. The next prime is 288288017. The reversal of 288288000 is 882882.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22175994 + ... + 22176006.

Almost surely, 2^288288000 is an apocalyptic number.

288288000 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 288288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696398976).

288288000 is an abundant number, since it is smaller than the sum of its proper divisors (1104509952).

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

288288000 is a wasteful number, since it uses less digits than its factorization.

288288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 288288000 is about 16979.0459095910. The cubic root of 288288000 is about 660.6055049268.

The spelling of 288288000 in words is "two hundred eighty-eight million, two hundred eighty-eight thousand".