28299838998144 has 768 divisors, whose sum is σ = 92750941071360. Its totient is φ = 7607113113600.

The previous prime is 28299838998061. The next prime is 28299838998161. The reversal of 28299838998144 is 44189983899282.

It is a Harshad number since it is a multiple of its sum of digits (84).

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, 17544846682 + ... + 17544848294.

It is an arithmetic number, because the mean of its divisors is an integer number (120769454520).

Almost surely, 2^{28299838998144} is an apocalyptic number.

28299838998144 is a gapful number since it is divisible by the number (24) 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 28299838998144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46375470535680).

28299838998144 is an abundant number, since it is smaller than the sum of its proper divisors (64451102073216).

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

28299838998144 is a wasteful number, since it uses less digits than its factorization.

28299838998144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2290 counting only the distinct ones).

The product of its digits is 5159780352, while the sum is 84.

The spelling of 28299838998144 in words is "twenty-eight trillion, two hundred ninety-nine billion, eight hundred thirty-eight million, nine hundred ninety-eight thousand, one hundred forty-four".