28659509424 has 840 divisors, whose sum is σ = 107939853312. Its totient is φ = 7205552640.

The previous prime is 28659509407. The next prime is 28659509429. The reversal of 28659509424 is 42490595682.

28659509424 is a `hidden beast` number, since 2 + 8 + 6 + 595 + 0 + 9 + 42 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28659509429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 427753839 + ... + 427753905.

Almost surely, 2^28659509424 is an apocalyptic number.

28659509424 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 28659509424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53969926656).

28659509424 is an abundant number, since it is smaller than the sum of its proper divisors (79280343888).

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

28659509424 is a wasteful number, since it uses less digits than its factorization.

28659509424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 28659509424 in words is "twenty-eight billion, six hundred fifty-nine million, five hundred nine thousand, four hundred twenty-four".