28830339141120 has 960 divisors, whose sum is σ = 113873649120000. Its totient is φ = 6856793948160.

The previous prime is 28830339141029. The next prime is 28830339141143. The reversal of 28830339141120 is 2114193303882.

It is a happy number.

28830339141120 is a `hidden beast` number, since 2 + 88 + 303 + 3 + 9 + 141 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2135732131 + ... + 2135745629.

It is an arithmetic number, because the mean of its divisors is an integer number (118618384500).

Almost surely, 2^{28830339141120} is an apocalyptic number.

28830339141120 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 28830339141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56936824560000).

28830339141120 is an abundant number, since it is smaller than the sum of its proper divisors (85043309978880).

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

28830339141120 is a wasteful number, since it uses less digits than its factorization.

28830339141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13648 (or 13573 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 28830339141120 in words is "twenty-eight trillion, eight hundred thirty billion, three hundred thirty-nine million, one hundred forty-one thousand, one hundred twenty".