28702080 has 256 divisors, whose sum is σ = 111628800. Its totient is φ = 6912000.

The previous prime is 28702061. The next prime is 28702087. The reversal of 28702080 is 8020782.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28702087) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 190005 + ... + 190155.

It is an arithmetic number, because the mean of its divisors is an integer number (436050).

Almost surely, 2^28702080 is an apocalyptic number.

28702080 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 28702080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55814400).

28702080 is an abundant number, since it is smaller than the sum of its proper divisors (82926720).

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

28702080 is a wasteful number, since it uses less digits than its factorization.

28702080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 28702080 is about 5357.4322207565. The cubic root of 28702080 is about 306.1759848899.

It can be divided in two parts, 2870 and 2080, that added together give a triangular number (4950 = T₉₉).

The spelling of 28702080 in words is "twenty-eight million, seven hundred two thousand, eighty".