288894924 has 72 divisors (see below), whose sum is σ = 797218240. Its totient is φ = 91224144.

The previous prime is 288894911. The next prime is 288894929. The reversal of 288894924 is 429498882.

It is a super-3 number, since 3×288894924³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (288894929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10647 + ... + 26289.

Almost surely, 2^288894924 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 288894924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398609120).

288894924 is an abundant number, since it is smaller than the sum of its proper divisors (508323316).

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

288894924 is a wasteful number, since it uses less digits than its factorization.

288894924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15681 (or 15667 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 288894924 is about 16996.9092484487. The cubic root of 288894924 is about 661.0687642411.

The spelling of 288894924 in words is "two hundred eighty-eight million, eight hundred ninety-four thousand, nine hundred twenty-four".