28760267289600 has 6336 divisors, whose sum is σ = 150006256128000. Its totient is φ = 5306292633600.

The previous prime is 28760267289569. The next prime is 28760267289601. The reversal of 28760267289600 is 698276206782.

28760267289600 is a `hidden beast` number, since 28 + 76 + 0 + 267 + 289 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28760267289601) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 120335846281 + ... + 120335846519.

Almost surely, 2^{28760267289600} is an apocalyptic number.

28760267289600 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 28760267289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75003128064000).

28760267289600 is an abundant number, since it is smaller than the sum of its proper divisors (121245988838400).

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

28760267289600 is a wasteful number, since it uses less digits than its factorization.

28760267289600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 28760267289600 in words is "twenty-eight trillion, seven hundred sixty billion, two hundred sixty-seven million, two hundred eighty-nine thousand, six hundred".