28355040 has 288 divisors, whose sum is σ = 115577280. Its totient is φ = 6193152.

The previous prime is 28355039. The next prime is 28355051. The reversal of 28355040 is 4055382.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 28354995 and 28355013.

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 47 ways as a sum of consecutive naturals, for example, 292272 + ... + 292368.

It is an arithmetic number, because the mean of its divisors is an integer number (401310).

Almost surely, 2^28355040 is an apocalyptic number.

28355040 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 28355040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57788640).

28355040 is an abundant number, since it is smaller than the sum of its proper divisors (87222240).

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

28355040 is a wasteful number, since it uses less digits than its factorization.

28355040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 28355040 is about 5324.9450701392. The cubic root of 28355040 is about 304.9369752424.

It can be divided in two parts, 2835 and 5040, that multiplied together give a square (14288400 = 3780²).

The spelling of 28355040 in words is "twenty-eight million, three hundred fifty-five thousand, forty".