288573476920 has 128 divisors (see below), whose sum is σ = 678945240000. Its totient is φ = 110275264512.

The previous prime is 288573476903. The next prime is 288573476929. The reversal of 288573476920 is 29674375882.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288573476929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107314936 + ... + 107317624.

Almost surely, 2^288573476920 is an apocalyptic number.

288573476920 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 288573476920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339472620000).

288573476920 is an abundant number, since it is smaller than the sum of its proper divisors (390371763080).

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

288573476920 is a wasteful number, since it uses less digits than its factorization.

288573476920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4025 (or 4021 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 61.

The spelling of 288573476920 in words is "two hundred eighty-eight billion, five hundred seventy-three million, four hundred seventy-six thousand, nine hundred twenty".