28281876480 has 1248 divisors, whose sum is σ = 122361744960. Its totient is φ = 5945425920.

The previous prime is 28281876457. The next prime is 28281876487. The reversal of 28281876480 is 8467818282.

28281876480 is a `hidden beast` number, since 2 + 8 + 2 + 81 + 87 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 3848 × 2552 × 2880.

It is not an unprimeable number, because it can be changed into a prime (28281876487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 764375022 + ... + 764375058.

It is an arithmetic number, because the mean of its divisors is an integer number (98046270).

Almost surely, 2^28281876480 is an apocalyptic number.

28281876480 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 28281876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61180872480).

28281876480 is an abundant number, since it is smaller than the sum of its proper divisors (94079868480).

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

28281876480 is a wasteful number, since it uses less digits than its factorization.

28281876480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 28281876480 in words is "twenty-eight billion, two hundred eighty-one million, eight hundred seventy-six thousand, four hundred eighty".