28229593725760 has 448 divisors, whose sum is σ = 78379043973120. Its totient is φ = 9484998082560.

The previous prime is 28229593725757. The next prime is 28229593725769. The reversal of 28229593725760 is 6752739592282.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×28229593725760³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28229593725769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21369865900 + ... + 21369867220.

Almost surely, 2^{28229593725760} is an apocalyptic number.

28229593725760 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 28229593725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39189521986560).

28229593725760 is an abundant number, since it is smaller than the sum of its proper divisors (50149450247360).

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

28229593725760 is a wasteful number, since it uses less digits than its factorization.

28229593725760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 67.

The spelling of 28229593725760 in words is "twenty-eight trillion, two hundred twenty-nine billion, five hundred ninety-three million, seven hundred twenty-five thousand, seven hundred sixty".