53585928 has 128 divisors (see below), whose sum is σ = 171072000. Its totient is φ = 15370560.

The previous prime is 53585923. The next prime is 53585933. The reversal of 53585928 is 82958535.

53585928 is a `hidden beast` number, since 5 + 3 + 58 + 592 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (53585923) and next prime (53585933).

It is not an unprimeable number, because it can be changed into a prime (53585923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44551 + ... + 45737.

It is an arithmetic number, because the mean of its divisors is an integer number (1336500).

Almost surely, 2^53585928 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 53585928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85536000).

53585928 is an abundant number, since it is smaller than the sum of its proper divisors (117486072).

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

53585928 is a wasteful number, since it uses less digits than its factorization.

53585928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1222 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 53585928 is about 7320.2409796399. The cubic root of 53585928 is about 377.0077275631.

The spelling of 53585928 in words is "fifty-three million, five hundred eighty-five thousand, nine hundred twenty-eight".