28268677536000 has 1152 divisors, whose sum is σ = 106965046056960. Its totient is φ = 6554103808000.

The previous prime is 28268677535999. The next prime is 28268677536017. The reversal of 28268677536000 is 63577686282.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3276763687 + ... + 3276772313.

It is an arithmetic number, because the mean of its divisors is an integer number (92851602480).

Almost surely, 2^{28268677536000} is an apocalyptic number.

28268677536000 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 28268677536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53482523028480).

28268677536000 is an abundant number, since it is smaller than the sum of its proper divisors (78696368520960).

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

28268677536000 is a wasteful number, since it uses less digits than its factorization.

28268677536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8808 (or 8784 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 60.

The spelling of 28268677536000 in words is "twenty-eight trillion, two hundred sixty-eight billion, six hundred seventy-seven million, five hundred thirty-six thousand".