53684928 has 168 divisors, whose sum is σ = 173156880. Its totient is φ = 15759360.

The previous prime is 53684927. The next prime is 53684933. The reversal of 53684928 is 82948635.

It is a Cunningham number, because it is equal to 7327²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53684927) 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 23 ways as a sum of consecutive naturals, for example, 234318 + ... + 234546.

Almost surely, 2^53684928 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 53684928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86578440).

53684928 is an abundant number, since it is smaller than the sum of its proper divisors (119471952).

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

53684928 is a wasteful number, since it uses less digits than its factorization.

53684928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 282 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 53684928 is about 7326.9999317592. Note that the first 4 decimals coincide. The cubic root of 53684928 is about 377.2397586502.

It can be divided in two parts, 5368 and 4928, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 53684928 in words is "fifty-three million, six hundred eighty-four thousand, nine hundred twenty-eight".