28414018080 has 576 divisors, whose sum is σ = 116348400000. Its totient is φ = 6457522176.

The previous prime is 28414018013. The next prime is 28414018133. The reversal of 28414018080 is 8081041482.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56941671 + ... + 56942169.

It is an arithmetic number, because the mean of its divisors is an integer number (201993750).

Almost surely, 2^28414018080 is an apocalyptic number.

28414018080 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 28414018080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58174200000).

28414018080 is an abundant number, since it is smaller than the sum of its proper divisors (87934381920).

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

28414018080 is a wasteful number, since it uses less digits than its factorization.

28414018080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 28414018080 in words is "twenty-eight billion, four hundred fourteen million, eighteen thousand, eighty".