53355328 has 42 divisors (see below), whose sum is σ = 114671094. Its totient is φ = 24620544.

The previous prime is 53355319. The next prime is 53355329. The reversal of 53355328 is 82355335.

It can be written as a sum of positive squares in 3 ways, for example, as 473344 + 52881984 = 688^2 + 7272^2 .

It is a junction number, because it is equal to n+sod(n) for n = 53355293 and 53355302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53355329) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8350 + ... + 13282.

Almost surely, 2^53355328 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 53355328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57335547).

53355328 is an abundant number, since it is smaller than the sum of its proper divisors (61315766).

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

53355328 is a wasteful number, since it uses less digits than its factorization.

53355328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4971 (or 4948 counting only the distinct ones).

The product of its digits is 54000, while the sum is 34.

The square root of 53355328 is about 7304.4731500636. The cubic root of 53355328 is about 376.4661488753.

The spelling of 53355328 in words is "fifty-three million, three hundred fifty-five thousand, three hundred twenty-eight".