53087328 has 144 divisors (see below), whose sum is σ = 182800800. Its totient is φ = 14266368.

The previous prime is 53087303. The next prime is 53087329. The reversal of 53087328 is 82378035.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 53087292 and 53087301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53087329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33498 + ... + 35046.

It is an arithmetic number, because the mean of its divisors is an integer number (1269450).

Almost surely, 2^53087328 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 53087328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91400400).

53087328 is an abundant number, since it is smaller than the sum of its proper divisors (129713472).

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

53087328 is a wasteful number, since it uses less digits than its factorization.

53087328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 53087328 is about 7286.1051323735. The cubic root of 53087328 is about 375.8347697132.

The spelling of 53087328 in words is "fifty-three million, eighty-seven thousand, three hundred twenty-eight".