28935280 has 80 divisors (see below), whose sum is σ = 74245248. Its totient is φ = 10400000.

The previous prime is 28935253. The next prime is 28935323. The reversal of 28935280 is 8253982.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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, 115155 + ... + 115405.

Almost surely, 2^28935280 is an apocalyptic number.

28935280 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 28935280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37122624).

28935280 is an abundant number, since it is smaller than the sum of its proper divisors (45309968).

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

28935280 is a wasteful number, since it uses less digits than its factorization.

28935280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 28935280 is about 5379.1523495807. The cubic root of 28935280 is about 307.0029602151.

The spelling of 28935280 in words is "twenty-eight million, nine hundred thirty-five thousand, two hundred eighty".