28430080 has 144 divisors (see below), whose sum is σ = 82414080. Its totient is φ = 9179136.

The previous prime is 28430029. The next prime is 28430089. The reversal of 28430080 is 8003482.

28430080 = T₁₆₀ + T₁₆₁ + ... + T₅₅₈.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28430089) 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 15 ways as a sum of consecutive naturals, for example, 170157 + ... + 170323.

It is an arithmetic number, because the mean of its divisors is an integer number (572320).

Almost surely, 2^28430080 is an apocalyptic number.

28430080 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 28430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41207040).

28430080 is an abundant number, since it is smaller than the sum of its proper divisors (53984000).

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

28430080 is a wasteful number, since it uses less digits than its factorization.

28430080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 28430080 is about 5331.9864966071. The cubic root of 28430080 is about 305.2057377449.

The spelling of 28430080 in words is "twenty-eight million, four hundred thirty thousand, eighty".