288427392 has 224 divisors, whose sum is σ = 943171560. Its totient is φ = 87091200.

The previous prime is 288427387. The next prime is 288427393. The reversal of 288427392 is 293724882.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288427393) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1026292 + ... + 1026572.

Almost surely, 2^288427392 is an apocalyptic number.

288427392 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 288427392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471585780).

288427392 is an abundant number, since it is smaller than the sum of its proper divisors (654744168).

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

288427392 is an equidigital number, since it uses as much as digits as its factorization.

288427392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 297 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 288427392 is about 16983.1502378092. The cubic root of 288427392 is about 660.7119589881.

It can be divided in two parts, 2884 and 27392, that added together give a square (30276 = 174²).

The spelling of 288427392 in words is "two hundred eighty-eight million, four hundred twenty-seven thousand, three hundred ninety-two".