288978820920 has 192 divisors, whose sum is σ = 959589296640. Its totient is φ = 75399782400.

The previous prime is 288978820901. The next prime is 288978820931. The reversal of 288978820920 is 29028879882.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4159912 + ... + 4228808.

It is an arithmetic number, because the mean of its divisors is an integer number (4997860920).

Almost surely, 2^288978820920 is an apocalyptic number.

288978820920 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 288978820920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479794648320).

288978820920 is an abundant number, since it is smaller than the sum of its proper divisors (670610475720).

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

288978820920 is a wasteful number, since it uses less digits than its factorization.

288978820920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69166 (or 69159 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 288978820920 in words is "two hundred eighty-eight billion, nine hundred seventy-eight million, eight hundred twenty thousand, nine hundred twenty".