28342080 has 168 divisors, whose sum is σ = 105122472. Its totient is φ = 6967296.

The previous prime is 28342073. The next prime is 28342087. The reversal of 28342080 is 8024382.

It is an interprime number because it is at equal distance from previous prime (28342073) and next prime (28342087).

It can be written as a sum of positive squares in 4 ways, for example, as 968256 + 27373824 = 984^2 + 5232^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28342087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37062 + ... + 37818.

It is an arithmetic number, because the mean of its divisors is an integer number (625729).

Almost surely, 2^28342080 is an apocalyptic number.

28342080 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 28342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52561236).

28342080 is an abundant number, since it is smaller than the sum of its proper divisors (76780392).

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

28342080 is a wasteful number, since it uses less digits than its factorization.

28342080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 28342080 is about 5323.7280170948. The cubic root of 28342080 is about 304.8905098350.

The spelling of 28342080 in words is "twenty-eight million, three hundred forty-two thousand, eighty".