28809395712000 has 2496 divisors, whose sum is σ = 116640367369344. Its totient is φ = 7066563379200.

The previous prime is 28809395711959. The next prime is 28809395712037. The reversal of 28809395712000 is 21759390882.

28809395712000 is a `hidden beast` number, since 288 + 0 + 9 + 3 + 95 + 71 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 112098815872 + ... + 112098816128.

It is an arithmetic number, because the mean of its divisors is an integer number (46730916414).

Almost surely, 2^{28809395712000} is an apocalyptic number.

28809395712000 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 28809395712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58320183684672).

28809395712000 is an abundant number, since it is smaller than the sum of its proper divisors (87830971657344).

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

28809395712000 is an equidigital number, since it uses as much as digits as its factorization.

28809395712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 28809395712000 in words is "twenty-eight trillion, eight hundred nine billion, three hundred ninety-five million, seven hundred twelve thousand".