28582320 has 80 divisors (see below), whose sum is σ = 95431392. Its totient is φ = 7034880.

The previous prime is 28582319. The next prime is 28582331. The reversal of 28582320 is 2328582.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1461 + ... + 7700.

Almost surely, 2^28582320 is an apocalyptic number.

28582320 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 28582320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47715696).

28582320 is an abundant number, since it is smaller than the sum of its proper divisors (66849072).

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

28582320 is a wasteful number, since it uses less digits than its factorization.

28582320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9190 (or 9184 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 28582320 is about 5346.2435410295. The cubic root of 28582320 is about 305.7495494387.

The spelling of 28582320 in words is "twenty-eight million, five hundred eighty-two thousand, three hundred twenty".