28151740512000 has 2016 divisors, whose sum is σ = 127248232535424. Its totient is φ = 6055575552000.

The previous prime is 28151740511963. The next prime is 28151740512011. The reversal of 28151740512000 is 21504715182.

It is a happy number.

28151740512000 is a `hidden beast` number, since 2 + 81 + 51 + 7 + 405 + 120 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-3 number, since 3×28151740512000³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2776026930 + ... + 2776037070.

It is an arithmetic number, because the mean of its divisors is an integer number (63119162964).

Almost surely, 2^{28151740512000} is an apocalyptic number.

28151740512000 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 28151740512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63624116267712).

28151740512000 is an abundant number, since it is smaller than the sum of its proper divisors (99096492023424).

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

28151740512000 is an equidigital number, since it uses as much as digits as its factorization.

28151740512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10214 (or 10175 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 28151740512000 in words is "twenty-eight trillion, one hundred fifty-one billion, seven hundred forty million, five hundred twelve thousand".