288295200 has 216 divisors, whose sum is σ = 1054963728. Its totient is φ = 76826880.

The previous prime is 288295187. The next prime is 288295201. The reversal of 288295200 is 2592882.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×288295200² = 166228244686080000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (288295201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 193659 + ... + 195141.

Almost surely, 2^288295200 is an apocalyptic number.

288295200 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 288295200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527481864).

288295200 is an abundant number, since it is smaller than the sum of its proper divisors (766668528).

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

288295200 is a wasteful number, since it uses less digits than its factorization.

288295200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 288295200 is about 16979.2579343150. The cubic root of 288295200 is about 660.6110044273.

The spelling of 288295200 in words is "two hundred eighty-eight million, two hundred ninety-five thousand, two hundred".