28998446135148 has 768 divisors, whose sum is σ = 93805792174080. Its totient is φ = 7567312896000.

The previous prime is 28998446135143. The next prime is 28998446135173. The reversal of 28998446135148 is 84153164489982.

It is a happy number.

28998446135148 is a `hidden beast` number, since 2 + 8 + 9 + 9 + 8 + 44 + 61 + 3 + 514 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (28998446135143) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 22708257886 + ... + 22708259162.

It is an arithmetic number, because the mean of its divisors is an integer number (122142958560).

Almost surely, 2^{28998446135148} is an apocalyptic number.

28998446135148 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 28998446135148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46902896087040).

28998446135148 is an abundant number, since it is smaller than the sum of its proper divisors (64807346038932).

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

28998446135148 is a wasteful number, since it uses less digits than its factorization.

28998446135148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015 (or 2007 counting only the distinct ones).

The product of its digits is 477757440, while the sum is 72.

The spelling of 28998446135148 in words is "twenty-eight trillion, nine hundred ninety-eight billion, four hundred forty-six million, one hundred thirty-five thousand, one hundred forty-eight".