28044233268480 has 3888 divisors, whose sum is σ = 125879150412288. Its totient is φ = 5931955814400.

The previous prime is 28044233268433. The next prime is 28044233268487. The reversal of 28044233268480 is 8486233244082.

28044233268480 is a `hidden beast` number, since 2 + 80 + 4 + 4 + 23 + 3 + 2 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28044233268487) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 652191471339 + ... + 652191471381.

Almost surely, 2^{28044233268480} is an apocalyptic number.

28044233268480 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 28044233268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62939575206144).

28044233268480 is an abundant number, since it is smaller than the sum of its proper divisors (97834917143808).

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

28044233268480 is a wasteful number, since it uses less digits than its factorization.

28044233268480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 54.

The spelling of 28044233268480 in words is "twenty-eight trillion, forty-four billion, two hundred thirty-three million, two hundred sixty-eight thousand, four hundred eighty".