53625728 has 96 divisors (see below), whose sum is σ = 120582360. Its totient is φ = 23721984.

The previous prime is 53625721. The next prime is 53625743. The reversal of 53625728 is 82752635.

Its product of digits (100800) is a multiple of the sum of its prime factors (144).

It is a junction number, because it is equal to n+sod(n) for n = 53625691 and 53625700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53625721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 800351 + ... + 800417.

Almost surely, 2^53625728 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 53625728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60291180).

53625728 is an abundant number, since it is smaller than the sum of its proper divisors (66956632).

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

53625728 is a wasteful number, since it uses less digits than its factorization.

53625728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 119 counting only the distinct ones).

The product of its digits is 100800, while the sum is 38.

The square root of 53625728 is about 7322.9589647901. The cubic root of 53625728 is about 377.1010430707.

The spelling of 53625728 in words is "fifty-three million, six hundred twenty-five thousand, seven hundred twenty-eight".