5353128 has 80 divisors (see below), whose sum is σ = 16378560. Its totient is φ = 1620000.

The previous prime is 5353121. The next prime is 5353151. The reversal of 5353128 is 8213535.

5353128 is a `hidden beast` number, since 535 + 3 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5353121) 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 19 ways as a sum of consecutive naturals, for example, 6753 + ... + 7503.

It is an arithmetic number, because the mean of its divisors is an integer number (204732).

Almost surely, 2^5353128 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 5353128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8189280).

5353128 is an abundant number, since it is smaller than the sum of its proper divisors (11025432).

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

5353128 is a wasteful number, since it uses less digits than its factorization.

5353128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 767 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 5353128 is about 2313.6827786021. The cubic root of 5353128 is about 174.9319790064.

It can be divided in two parts, 535 and 3128, that added together give a palindrome (3663).

The spelling of 5353128 in words is "five million, three hundred fifty-three thousand, one hundred twenty-eight".