28589792 has 96 divisors (see below), whose sum is σ = 72140544. Its totient is φ = 10828800.

The previous prime is 28589779. The next prime is 28589809. The reversal of 28589792 is 29798582.

28589792 is nontrivially palindromic in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 28589792.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100883 + ... + 101165.

It is an arithmetic number, because the mean of its divisors is an integer number (751464).

Almost surely, 2^28589792 is an apocalyptic number.

28589792 is a gapful number since it is divisible by the number (22) 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 28589792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36070272).

28589792 is an abundant number, since it is smaller than the sum of its proper divisors (43550752).

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

28589792 is a wasteful number, since it uses less digits than its factorization.

28589792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 344 counting only the distinct ones).

The product of its digits is 725760, while the sum is 50.

The square root of 28589792 is about 5346.9423037845. The cubic root of 28589792 is about 305.7761901684.

The spelling of 28589792 in words is "twenty-eight million, five hundred eighty-nine thousand, seven hundred ninety-two".