288628628602860 has 1152 divisors, whose sum is σ = 1141006382530560. Its totient is φ = 57392375040000.

The previous prime is 288628628602841. The next prime is 288628628602879. The reversal of 288628628602860 is 68206826826882.

288628628602860 is a `hidden beast` number, since 2 + 8 + 8 + 6 + 2 + 8 + 6 + 2 + 8 + 602 + 8 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (288628628602841) and next prime (288628628602879).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14613357985 + ... + 14613377735.

It is an arithmetic number, because the mean of its divisors is an integer number (990456929280).

Almost surely, 2^{288628628602860} is an apocalyptic number.

288628628602860 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 288628628602860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570503191265280).

288628628602860 is an abundant number, since it is smaller than the sum of its proper divisors (852377753927700).

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

288628628602860 is a wasteful number, since it uses less digits than its factorization.

288628628602860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20379 (or 20374 counting only the distinct ones).

The product of its (nonzero) digits is 679477248, while the sum is 72.

The spelling of 288628628602860 in words is "two hundred eighty-eight trillion, six hundred twenty-eight billion, six hundred twenty-eight million, six hundred two thousand, eight hundred sixty".