288320472 has 192 divisors, whose sum is σ = 898934400. Its totient is φ = 85847040.

The previous prime is 288320453. The next prime is 288320489. The reversal of 288320472 is 274023882.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 2074179 + ... + 2074317.

It is an arithmetic number, because the mean of its divisors is an integer number (4681950).

Almost surely, 2^288320472 is an apocalyptic number.

288320472 is a gapful number since it is divisible by the number (22) 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 288320472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449467200).

288320472 is an abundant number, since it is smaller than the sum of its proper divisors (610613928).

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

288320472 is a wasteful number, since it uses less digits than its factorization.

288320472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 288320472 is about 16980.0021201412. The cubic root of 288320472 is about 660.6303069495.

The spelling of 288320472 in words is "two hundred eighty-eight million, three hundred twenty thousand, four hundred seventy-two".