28859390563200 has 768 divisors, whose sum is σ = 106105539168000. Its totient is φ = 6851484057600.

The previous prime is 28859390563169. The next prime is 28859390563261. The reversal of 28859390563200 is 236509395882.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2142646066 + ... + 2142659534.

It is an arithmetic number, because the mean of its divisors is an integer number (138158254125).

Almost surely, 2^{28859390563200} is an apocalyptic number.

28859390563200 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 28859390563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53052769584000).

28859390563200 is an abundant number, since it is smaller than the sum of its proper divisors (77246148604800).

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

28859390563200 is a wasteful number, since it uses less digits than its factorization.

28859390563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14223 (or 14206 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 60.

The spelling of 28859390563200 in words is "twenty-eight trillion, eight hundred fifty-nine billion, three hundred ninety million, five hundred sixty-three thousand, two hundred".