28430872240 has 80 divisors (see below), whose sum is σ = 69108523200. Its totient is φ = 10877526528.

The previous prime is 28430872201. The next prime is 28430872247. The reversal of 28430872240 is 4227803482.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 28430872193 and 28430872202.

It is not an unprimeable number, because it can be changed into a prime (28430872247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 958756 + ... + 987964.

It is an arithmetic number, because the mean of its divisors is an integer number (863856540).

Almost surely, 2^28430872240 is an apocalyptic number.

28430872240 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 28430872240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34554261600).

28430872240 is an abundant number, since it is smaller than the sum of its proper divisors (40677650960).

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

28430872240 is an equidigital number, since it uses as much as digits as its factorization.

28430872240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29291 (or 29239 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 40.

The spelling of 28430872240 in words is "twenty-eight billion, four hundred thirty million, eight hundred seventy-two thousand, two hundred forty".