28584140 has 96 divisors (see below), whose sum is σ = 71124480. Its totient is φ = 9547776.

The previous prime is 28584137. The next prime is 28584181. The reversal of 28584140 is 4148582.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 28584097 and 28584106.

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 31 ways as a sum of consecutive naturals, for example, 128069 + ... + 128291.

It is an arithmetic number, because the mean of its divisors is an integer number (740880).

Almost surely, 2^28584140 is an apocalyptic number.

28584140 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 28584140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35562240).

28584140 is an abundant number, since it is smaller than the sum of its proper divisors (42540340).

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

28584140 is a wasteful number, since it uses less digits than its factorization.

28584140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 28584140 is about 5346.4137512916. The cubic root of 28584140 is about 305.7560389092.

The spelling of 28584140 in words is "twenty-eight million, five hundred eighty-four thousand, one hundred forty".