28800663342 has 96 divisors (see below), whose sum is σ = 66770476416. Its totient is φ = 8210558400.

The previous prime is 28800663317. The next prime is 28800663371. The reversal of 28800663342 is 24336600882.

It is a junction number, because it is equal to n+sod(n) for n = 28800663294 and 28800663303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2122993 + ... + 2136515.

It is an arithmetic number, because the mean of its divisors is an integer number (695525796).

Almost surely, 2^28800663342 is an apocalyptic number.

28800663342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 28800663342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33385238208).

28800663342 is an abundant number, since it is smaller than the sum of its proper divisors (37969813074).

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

28800663342 is a wasteful number, since it uses less digits than its factorization.

28800663342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13646 (or 13623 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 28800663342 in words is "twenty-eight billion, eight hundred million, six hundred sixty-three thousand, three hundred forty-two".