53893728 has 288 divisors, whose sum is σ = 195350400. Its totient is φ = 14370048.

The previous prime is 53893711. The next prime is 53893729. The reversal of 53893728 is 82739835.

53893728 is a `hidden beast` number, since 538 + 93 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53893729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 804351 + ... + 804417.

It is an arithmetic number, because the mean of its divisors is an integer number (678300).

Almost surely, 2^53893728 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 53893728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97675200).

53893728 is an abundant number, since it is smaller than the sum of its proper divisors (141456672).

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

53893728 is a wasteful number, since it uses less digits than its factorization.

53893728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 98 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 53893728 is about 7341.2347735241. The cubic root of 53893728 is about 377.7281996710.

The spelling of 53893728 in words is "fifty-three million, eight hundred ninety-three thousand, seven hundred twenty-eight".