288204672 has 288 divisors, whose sum is σ = 963844920. Its totient is φ = 76038144.

The previous prime is 288204659. The next prime is 288204677. The reversal of 288204672 is 276402882.

It is a self number, because there is not a number n which added to its sum of digits gives 288204672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288204677) 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, 5437798 + ... + 5437850.

Almost surely, 2^288204672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288204672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481922460).

288204672 is an abundant number, since it is smaller than the sum of its proper divisors (675640248).

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

288204672 is a wasteful number, since it uses less digits than its factorization.

288204672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 288204672 is about 16976.5918841209. The cubic root of 288204672 is about 660.5418507106.

The spelling of 288204672 in words is "two hundred eighty-eight million, two hundred four thousand, six hundred seventy-two".