28824906240 has 1200 divisors, whose sum is σ = 121300408152. Its totient is φ = 6497501184.

The previous prime is 28824906233. The next prime is 28824906281. The reversal of 28824906240 is 4260942882.

28824906240 is a `hidden beast` number, since 28 + 82 + 490 + 62 + 4 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 10541539584 + 18283366656 = 102672^2 + 135216^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 779051502 + ... + 779051538.

Almost surely, 2^28824906240 is an apocalyptic number.

28824906240 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 28824906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60650204076).

28824906240 is an abundant number, since it is smaller than the sum of its proper divisors (92475501912).

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

28824906240 is a wasteful number, since it uses less digits than its factorization.

28824906240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 28824906240 in words is "twenty-eight billion, eight hundred twenty-four million, nine hundred six thousand, two hundred forty".