53508728 has 64 divisors (see below), whose sum is σ = 127518720. Its totient is φ = 20476800.

The previous prime is 53508713. The next prime is 53508733. The reversal of 53508728 is 82780535.

53508728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×53508728³ (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53508691 and 53508700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21383 + ... + 23753.

It is an arithmetic number, because the mean of its divisors is an integer number (1992480).

Almost surely, 2^53508728 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 53508728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63759360).

53508728 is an abundant number, since it is smaller than the sum of its proper divisors (74009992).

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

53508728 is a wasteful number, since it uses less digits than its factorization.

53508728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The square root of 53508728 is about 7314.9660286293. The cubic root of 53508728 is about 376.8265917947.

The spelling of 53508728 in words is "fifty-three million, five hundred eight thousand, seven hundred twenty-eight".