28430965204992 has 480 divisors, whose sum is σ = 97556385326400. Its totient is φ = 8080980443136.

The previous prime is 28430965204913. The next prime is 28430965205119. The reversal of 28430965204992 is 29940256903482.

28430965204992 is a `hidden beast` number, since 2 + 8 + 4 + 3 + 0 + 96 + 52 + 0 + 499 + 2 = 666.

28430965204992 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 224051259 + ... + 224178117.

It is an arithmetic number, because the mean of its divisors is an integer number (203242469430).

Almost surely, 2^{28430965204992} 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 28430965204992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48778192663200).

28430965204992 is an abundant number, since it is smaller than the sum of its proper divisors (69125420121408).

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

28430965204992 is a wasteful number, since it uses less digits than its factorization.

28430965204992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127093 (or 127064 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 28430965204992 in words is "twenty-eight trillion, four hundred thirty billion, nine hundred sixty-five million, two hundred four thousand, nine hundred ninety-two".