28205018424 has 160 divisors (see below), whose sum is σ = 88962762240. Its totient is φ = 8271201600.

The previous prime is 28205018419. The next prime is 28205018441. The reversal of 28205018424 is 42481050282.

28205018424 is a `hidden beast` number, since 28 + 205 + 0 + 1 + 8 + 424 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 157147 + ... + 284789.

It is an arithmetic number, because the mean of its divisors is an integer number (556017264).

Almost surely, 2^28205018424 is an apocalyptic number.

28205018424 is a gapful number since it is divisible by the number (24) 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 28205018424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44481381120).

28205018424 is an abundant number, since it is smaller than the sum of its proper divisors (60757743816).

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

28205018424 is a wasteful number, since it uses less digits than its factorization.

28205018424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127703 (or 127690 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 28205018424 in words is "twenty-eight billion, two hundred five million, eighteen thousand, four hundred twenty-four".