28766820222000 has 2560 divisors, whose sum is σ = 128999286374400. Its totient is φ = 5983262208000.

The previous prime is 28766820221999. The next prime is 28766820222059. The reversal of 28766820222000 is 22202866782.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 17900945197 + ... + 17900946803.

It is an arithmetic number, because the mean of its divisors is an integer number (50390346240).

Almost surely, 2^{28766820222000} is an apocalyptic number.

28766820222000 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 28766820222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64499643187200).

28766820222000 is an abundant number, since it is smaller than the sum of its proper divisors (100232466152400).

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

28766820222000 is a wasteful number, since it uses less digits than its factorization.

28766820222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 28766820222000 in words is "twenty-eight trillion, seven hundred sixty-six billion, eight hundred twenty million, two hundred twenty-two thousand".