288979191648 has 384 divisors, whose sum is σ = 1028643840000. Its totient is φ = 77145384960.

The previous prime is 288979191637. The next prime is 288979191649. The reversal of 288979191648 is 846191979882.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288979191649) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5410578 + ... + 5463726.

It is an arithmetic number, because the mean of its divisors is an integer number (2678760000).

Almost surely, 2^288979191648 is an apocalyptic number.

288979191648 is a gapful number since it is divisible by the number (28) 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 288979191648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514321920000).

288979191648 is an abundant number, since it is smaller than the sum of its proper divisors (739664648352).

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

288979191648 is a wasteful number, since it uses less digits than its factorization.

288979191648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53235 (or 53221 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 72.

The spelling of 288979191648 in words is "two hundred eighty-eight billion, nine hundred seventy-nine million, one hundred ninety-one thousand, six hundred forty-eight".