28546128 has 240 divisors, whose sum is σ = 98029440. Its totient is φ = 7907328.

The previous prime is 28546123. The next prime is 28546153. The reversal of 28546128 is 82164582.

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 = 28546092 and 28546101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28546123) by changing a digit.

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, 1241125 + ... + 1241147.

It is an arithmetic number, because the mean of its divisors is an integer number (408456).

Almost surely, 2^28546128 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 28546128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49014720).

28546128 is an abundant number, since it is smaller than the sum of its proper divisors (69483312).

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

28546128 is a wasteful number, since it uses less digits than its factorization.

28546128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 58 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 28546128 is about 5342.8576623376. The cubic root of 28546128 is about 305.6204444351.

The spelling of 28546128 in words is "twenty-eight million, five hundred forty-six thousand, one hundred twenty-eight".