28743680 has 96 divisors (see below), whose sum is σ = 79017120. Its totient is φ = 9830400.

The previous prime is 28743661. The next prime is 28743703. The reversal of 28743680 is 8634782.

28743680 = T₁₆₀ + T₁₆₁ + ... + T₅₆₀.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71480 + ... + 71880.

It is an arithmetic number, because the mean of its divisors is an integer number (823095).

Almost surely, 2^28743680 is an apocalyptic number.

28743680 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 28743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39508560).

28743680 is an abundant number, since it is smaller than the sum of its proper divisors (50273440).

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

28743680 is an equidigital number, since it uses as much as digits as its factorization.

28743680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 28743680 is about 5361.3132719512. The cubic root of 28743680 is about 306.3238344814.

The spelling of 28743680 in words is "twenty-eight million, seven hundred forty-three thousand, six hundred eighty".