28249841311104 has 1536 divisors, whose sum is σ = 99569317478400. Its totient is φ = 7055118766080.

The previous prime is 28249841311067. The next prime is 28249841311129. The reversal of 28249841311104 is 40111314894282.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 92019026919 + ... + 92019027225.

It is an arithmetic number, because the mean of its divisors is an integer number (64823774400).

Almost surely, 2^{28249841311104} is an apocalyptic number.

28249841311104 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 28249841311104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49784658739200).

28249841311104 is an abundant number, since it is smaller than the sum of its proper divisors (71319476167296).

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

28249841311104 is a wasteful number, since it uses less digits than its factorization.

28249841311104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 28249841311104 in words is "twenty-eight trillion, two hundred forty-nine billion, eight hundred forty-one million, three hundred eleven thousand, one hundred four".