28645372800000 has 1584 divisors, whose sum is σ = 118743987398400. Its totient is φ = 6577459200000.

The previous prime is 28645372799951. The next prime is 28645372800103. The reversal of 28645372800000 is 827354682.

It is a tau number, because it is divible by the number of its divisors (1584).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6019197621 + ... + 6019202379.

Almost surely, 2^{28645372800000} is an apocalyptic number.

28645372800000 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 28645372800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59371993699200).

28645372800000 is an abundant number, since it is smaller than the sum of its proper divisors (90098614598400).

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

28645372800000 is a wasteful number, since it uses less digits than its factorization.

28645372800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4840 (or 4799 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 28645372800000 in words is "twenty-eight trillion, six hundred forty-five billion, three hundred seventy-two million, eight hundred thousand".