28594288002240 has 336 divisors, whose sum is σ = 99261515935296. Its totient is φ = 7554716467200.

The previous prime is 28594288002233. The next prime is 28594288002263. The reversal of 28594288002240 is 4220088249582.

28594288002240 is a `hidden beast` number, since 2 + 8 + 594 + 2 + 8 + 8 + 0 + 0 + 2 + 2 + 40 = 666.

It is a super-3 number, since 3×28594288002240³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 908287300 + ... + 908318780.

Almost surely, 2^{28594288002240} is an apocalyptic number.

28594288002240 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 28594288002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49630757967648).

28594288002240 is an abundant number, since it is smaller than the sum of its proper divisors (70667227933056).

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

28594288002240 is a wasteful number, since it uses less digits than its factorization.

28594288002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34408 (or 34395 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 28594288002240 in words is "twenty-eight trillion, five hundred ninety-four billion, two hundred eighty-eight million, two thousand, two hundred forty".