28420125360 has 320 divisors, whose sum is σ = 103499804160. Its totient is φ = 6373949440.

The previous prime is 28420125359. The next prime is 28420125361. The reversal of 28420125360 is 6352102482.

It is an interprime number because it is at equal distance from previous prime (28420125359) and next prime (28420125361).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (28420125361) 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 63 ways as a sum of consecutive naturals, for example, 2642554 + ... + 2653286.

It is an arithmetic number, because the mean of its divisors is an integer number (323436888).

Almost surely, 2^28420125360 is an apocalyptic number.

28420125360 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 28420125360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51749902080).

28420125360 is an abundant number, since it is smaller than the sum of its proper divisors (75079678800).

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

28420125360 is a wasteful number, since it uses less digits than its factorization.

28420125360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10836 (or 10830 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 28420125360 in words is "twenty-eight billion, four hundred twenty million, one hundred twenty-five thousand, three hundred sixty".