53830728 has 144 divisors (see below), whose sum is σ = 173921280. Its totient is φ = 14732928.

The previous prime is 53830727. The next prime is 53830739. The reversal of 53830728 is 82703835.

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 = 53830692 and 53830701.

It is not an unprimeable number, because it can be changed into a prime (53830723) 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 35 ways as a sum of consecutive naturals, for example, 423801 + ... + 423927.

Almost surely, 2^53830728 is an apocalyptic number.

53830728 is a gapful number since it is divisible by the number (58) 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 53830728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86960640).

53830728 is an abundant number, since it is smaller than the sum of its proper divisors (120090552).

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

53830728 is a wasteful number, since it uses less digits than its factorization.

53830728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 53830728 is about 7336.9426875232. The cubic root of 53830728 is about 377.5809583247.

The spelling of 53830728 in words is "fifty-three million, eight hundred thirty thousand, seven hundred twenty-eight".