288575228920 has 256 divisors, whose sum is σ = 734012254080. Its totient is φ = 101213798400.

The previous prime is 288575228891. The next prime is 288575228951. The reversal of 288575228920 is 29822575882.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 436573390 + ... + 436574050.

Almost surely, 2^288575228920 is an apocalyptic number.

288575228920 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 288575228920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367006127040).

288575228920 is an abundant number, since it is smaller than the sum of its proper divisors (445437025160).

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

288575228920 is a wasteful number, since it uses less digits than its factorization.

288575228920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 58.

The spelling of 288575228920 in words is "two hundred eighty-eight billion, five hundred seventy-five million, two hundred twenty-eight thousand, nine hundred twenty".