5628128 has 48 divisors (see below), whose sum is σ = 12337920. Its totient is φ = 2505600.

The previous prime is 5628127. The next prime is 5628131. The reversal of 5628128 is 8218265.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 5628094 and 5628103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5628127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20633 + ... + 20903.

It is an arithmetic number, because the mean of its divisors is an integer number (257040).

Almost surely, 2^5628128 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 5628128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168960).

5628128 is an abundant number, since it is smaller than the sum of its proper divisors (6709792).

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

5628128 is a wasteful number, since it uses less digits than its factorization.

5628128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 343 counting only the distinct ones).

The product of its digits is 7680, while the sum is 32.

The square root of 5628128 is about 2372.3675937763. The cubic root of 5628128 is about 177.8776249298.

The spelling of 5628128 in words is "five million, six hundred twenty-eight thousand, one hundred twenty-eight".