28305275040 has 240 divisors, whose sum is σ = 114164975232. Its totient is φ = 6469756416.

The previous prime is 28305275027. The next prime is 28305275057. The reversal of 28305275040 is 4057250382.

28305275040 is a `hidden beast` number, since 2 + 83 + 0 + 527 + 50 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 28305274986 and 28305275004.

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 39 ways as a sum of consecutive naturals, for example, 65284 + ... + 246723.

Almost surely, 2^28305275040 is an apocalyptic number.

28305275040 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 28305275040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57082487616).

28305275040 is an abundant number, since it is smaller than the sum of its proper divisors (85859700192).

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

28305275040 is a wasteful number, since it uses less digits than its factorization.

28305275040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312041 (or 312024 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 28305275040 in words is "twenty-eight billion, three hundred five million, two hundred seventy-five thousand, forty".