28212879742080 has 512 divisors, whose sum is σ = 100913871098880. Its totient is φ = 6646285516800.

The previous prime is 28212879742007. The next prime is 28212879742097. The reversal of 28212879742080 is 8024797821282.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106798639 + ... + 107062481.

It is an arithmetic number, because the mean of its divisors is an integer number (197097404490).

Almost surely, 2^{28212879742080} is an apocalyptic number.

28212879742080 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 28212879742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50456935549440).

28212879742080 is an abundant number, since it is smaller than the sum of its proper divisors (72700991356800).

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

28212879742080 is a wasteful number, since it uses less digits than its factorization.

28212879742080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264020 (or 264008 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 60.

The spelling of 28212879742080 in words is "twenty-eight trillion, two hundred twelve billion, eight hundred seventy-nine million, seven hundred forty-two thousand, eighty".