288828845088 has 192 divisors, whose sum is σ = 917822803968. Its totient is φ = 77637242880.

The previous prime is 288828845077. The next prime is 288828845099. The reversal of 288828845088 is 880548828882.

It is an interprime number because it is at equal distance from previous prime (288828845077) and next prime (288828845099).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52444831 + ... + 52450337.

It is an arithmetic number, because the mean of its divisors is an integer number (4780327104).

Almost surely, 2^288828845088 is an apocalyptic number.

288828845088 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 288828845088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458911401984).

288828845088 is an abundant number, since it is smaller than the sum of its proper divisors (628993958880).

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

288828845088 is a wasteful number, since it uses less digits than its factorization.

288828845088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10135 (or 10127 counting only the distinct ones).

The product of its (nonzero) digits is 167772160, while the sum is 69.

The spelling of 288828845088 in words is "two hundred eighty-eight billion, eight hundred twenty-eight million, eight hundred forty-five thousand, eighty-eight".