28146177840000 has 2560 divisors, whose sum is σ = 111848201118720. Its totient is φ = 6244761600000.

The previous prime is 28146177839987. The next prime is 28146177840029. The reversal of 28146177840000 is 4877164182.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 385564079964 + ... + 385564080036.

It is an arithmetic number, because the mean of its divisors is an integer number (43690703562).

Almost surely, 2^{28146177840000} is an apocalyptic number.

28146177840000 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 28146177840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55924100559360).

28146177840000 is an abundant number, since it is smaller than the sum of its proper divisors (83702023278720).

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

28146177840000 is an equidigital number, since it uses as much as digits as its factorization.

28146177840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The spelling of 28146177840000 in words is "twenty-eight trillion, one hundred forty-six billion, one hundred seventy-seven million, eight hundred forty thousand".