28430993299968 has 960 divisors, whose sum is σ = 98324183992320. Its totient is φ = 7738343424000.

The previous prime is 28430993299957. The next prime is 28430993300029. The reversal of 28430993299968 is 86999239903482.

28430993299968 is a `hidden beast` number, since 2 + 8 + 430 + 9 + 9 + 3 + 2 + 99 + 96 + 8 = 666.

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, 19895725878 + ... + 19895727306.

It is an arithmetic number, because the mean of its divisors is an integer number (102421024992).

Almost surely, 2^{28430993299968} is an apocalyptic number.

28430993299968 is a gapful number since it is divisible by the number (28) 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 28430993299968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49162091996160).

28430993299968 is an abundant number, since it is smaller than the sum of its proper divisors (69893190692352).

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

28430993299968 is a wasteful number, since it uses less digits than its factorization.

28430993299968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 3265173504, while the sum is 81.

The spelling of 28430993299968 in words is "twenty-eight trillion, four hundred thirty billion, nine hundred ninety-three million, two hundred ninety-nine thousand, nine hundred sixty-eight".