288492000 has 192 divisors, whose sum is σ = 978868800. Its totient is φ = 74188800.

The previous prime is 288491977. The next prime is 288492007. The reversal of 288492000 is 294882.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288492007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347586 + ... + 348414.

It is an arithmetic number, because the mean of its divisors is an integer number (5098275).

Almost surely, 2^288492000 is an apocalyptic number.

288492000 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 288492000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489434400).

288492000 is an abundant number, since it is smaller than the sum of its proper divisors (690376800).

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

288492000 is a wasteful number, since it uses less digits than its factorization.

288492000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 288492000 is about 16985.0522519067. The cubic root of 288492000 is about 660.7612886663.

The spelling of 288492000 in words is "two hundred eighty-eight million, four hundred ninety-two thousand".