28327242240 has 600 divisors, whose sum is σ = 111620082420. Its totient is φ = 6861127680.

The previous prime is 28327242211. The next prime is 28327242241. The reversal of 28327242240 is 4224272382.

It can be written as a sum of positive squares in 2 ways, for example, as 25594880256 + 2732361984 = 159984^2 + 52272^2 .

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 = 28327242195 and 28327242204.

It is not an unprimeable number, because it can be changed into a prime (28327242241) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 25089996 + ... + 25091124.

Almost surely, 2^28327242240 is an apocalyptic number.

28327242240 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 28327242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55810041210).

28327242240 is an abundant number, since it is smaller than the sum of its proper divisors (83292840180).

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

28327242240 is a wasteful number, since it uses less digits than its factorization.

28327242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 28327242240 in words is "twenty-eight billion, three hundred twenty-seven million, two hundred forty-two thousand, two hundred forty".