53406528 has 112 divisors (see below), whose sum is σ = 163860480. Its totient is φ = 15035904.

The previous prime is 53406481. The next prime is 53406539. The reversal of 53406528 is 82560435.

53406528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105925 + ... + 106427.

It is an arithmetic number, because the mean of its divisors is an integer number (1463040).

Almost surely, 2^53406528 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 53406528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81930240).

53406528 is an abundant number, since it is smaller than the sum of its proper divisors (110453952).

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

53406528 is a wasteful number, since it uses less digits than its factorization.

53406528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 53406528 is about 7307.9770114581. The cubic root of 53406528 is about 376.5865298841.

The spelling of 53406528 in words is "fifty-three million, four hundred six thousand, five hundred twenty-eight".