28105593480 has 192 divisors, whose sum is σ = 93714894000. Its totient is φ = 7300792320.

The previous prime is 28105593473. The next prime is 28105593491. The reversal of 28105593480 is 8439550182.

28105593480 is a `hidden beast` number, since 2 + 8 + 10 + 5 + 593 + 48 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 16169156964 + 11936436516 = 127158^2 + 109254^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 14419546 + ... + 14421494.

Almost surely, 2^28105593480 is an apocalyptic number.

28105593480 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 28105593480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46857447000).

28105593480 is an abundant number, since it is smaller than the sum of its proper divisors (65609300520).

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

28105593480 is a wasteful number, since it uses less digits than its factorization.

28105593480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2984 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 28105593480 in words is "twenty-eight billion, one hundred five million, five hundred ninety-three thousand, four hundred eighty".