28018729026288 has 1920 divisors, whose sum is σ = 115307819827200. Its totient is φ = 6109273497600.

The previous prime is 28018729026229. The next prime is 28018729026401. The reversal of 28018729026288 is 88262092781082.

28018729026288 is a `hidden beast` number, since 2 + 8 + 0 + 1 + 8 + 7 + 290 + 262 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 15169857781 + ... + 15169859627.

It is an arithmetic number, because the mean of its divisors is an integer number (60056156160).

Almost surely, 2^{28018729026288} is an apocalyptic number.

28018729026288 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 28018729026288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57653909913600).

28018729026288 is an abundant number, since it is smaller than the sum of its proper divisors (87289090800912).

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

28018729026288 is a wasteful number, since it uses less digits than its factorization.

28018729026288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 28018729026288 in words is "twenty-eight trillion, eighteen billion, seven hundred twenty-nine million, twenty-six thousand, two hundred eighty-eight".