288872210406 has 128 divisors (see below), whose sum is σ = 670199878656. Its totient is φ = 82297797120.

The previous prime is 288872210311. The next prime is 288872210437. The reversal of 288872210406 is 604012278882.

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, 13065421 + ... + 13087511.

It is an arithmetic number, because the mean of its divisors is an integer number (5235936552).

Almost surely, 2^288872210406 is an apocalyptic number.

288872210406 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 288872210406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335099939328).

288872210406 is an abundant number, since it is smaller than the sum of its proper divisors (381327668250).

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

288872210406 is a wasteful number, since it uses less digits than its factorization.

288872210406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22366.

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 288872210406 in words is "two hundred eighty-eight billion, eight hundred seventy-two million, two hundred ten thousand, four hundred six".