28582128 has 60 divisors (see below), whose sum is σ = 81115840. Its totient is φ = 9393408.

The previous prime is 28582109. The next prime is 28582159. The reversal of 28582128 is 82128582.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28582092 and 28582101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9153 + ... + 11871.

Almost surely, 2^28582128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28582128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40557920).

28582128 is an abundant number, since it is smaller than the sum of its proper divisors (52533712).

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

28582128 is a wasteful number, since it uses less digits than its factorization.

28582128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806 (or 2797 counting only the distinct ones).

The product of its digits is 20480, while the sum is 36.

The square root of 28582128 is about 5346.2255844661. The cubic root of 28582128 is about 305.7488648191.

The spelling of 28582128 in words is "twenty-eight million, five hundred eighty-two thousand, one hundred twenty-eight".