28240440480 has 576 divisors, whose sum is σ = 116348400000. Its totient is φ = 6378172416.

The previous prime is 28240440413. The next prime is 28240440509. The reversal of 28240440480 is 8404404282.

28240440480 is a `hidden beast` number, since 2 + 8 + 240 + 4 + 404 + 8 + 0 = 666.

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

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, 18838771 + ... + 18840269.

It is an arithmetic number, because the mean of its divisors is an integer number (201993750).

Almost surely, 2^28240440480 is an apocalyptic number.

28240440480 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 28240440480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58174200000).

28240440480 is an abundant number, since it is smaller than the sum of its proper divisors (88107959520).

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

28240440480 is a wasteful number, since it uses less digits than its factorization.

28240440480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 28240440480 in words is "twenty-eight billion, two hundred forty million, four hundred forty thousand, four hundred eighty".