28642609203824 has 180 divisors, whose sum is σ = 71009897231952. Its totient is φ = 11151244177920.

The previous prime is 28642609203749. The next prime is 28642609203869. The reversal of 28642609203824 is 42830290624682.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 28642609203824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 129568652 + ... + 129789524.

Almost surely, 2^{28642609203824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28642609203824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35504948615976).

28642609203824 is an abundant number, since it is smaller than the sum of its proper divisors (42367288028128).

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

28642609203824 is a wasteful number, since it uses less digits than its factorization.

28642609203824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222284 (or 222260 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 56.

The spelling of 28642609203824 in words is "twenty-eight trillion, six hundred forty-two billion, six hundred nine million, two hundred three thousand, eight hundred twenty-four".