28446511104 has 624 divisors, whose sum is σ = 96601377600. Its totient is φ = 7982284800.

The previous prime is 28446511091. The next prime is 28446511123. The reversal of 28446511104 is 40111564482.

28446511104 is a `hidden beast` number, since 2 + 84 + 465 + 1 + 110 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 482144227 + ... + 482144285.

It is an arithmetic number, because the mean of its divisors is an integer number (154809900).

Almost surely, 2^28446511104 is an apocalyptic number.

28446511104 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 28446511104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48300688800).

28446511104 is an abundant number, since it is smaller than the sum of its proper divisors (68154866496).

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

28446511104 is a wasteful number, since it uses less digits than its factorization.

28446511104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 28446511104 in words is "twenty-eight billion, four hundred forty-six million, five hundred eleven thousand, one hundred four".