53756928 has 132 divisors (see below), whose sum is σ = 163923760. Its totient is φ = 16920576.

The previous prime is 53756917. The next prime is 53756933. The reversal of 53756928 is 82965735.

It is a happy number.

It is a super-3 number, since 3×53756928³ (a number of 24 digits) contains 333 as substring.

It is a zygodrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174951 + ... + 175257.

Almost surely, 2^53756928 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 53756928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81961880).

53756928 is an abundant number, since it is smaller than the sum of its proper divisors (110166832).

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

53756928 is a wasteful number, since it uses less digits than its factorization.

53756928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 331 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 53756928 is about 7331.9116197619. The cubic root of 53756928 is about 377.4083294214.

The spelling of 53756928 in words is "fifty-three million, seven hundred fifty-six thousand, nine hundred twenty-eight".