53609328 has 90 divisors (see below), whose sum is σ = 154964784. Its totient is φ = 17293056.

The previous prime is 53609327. The next prime is 53609351. The reversal of 53609328 is 82390635.

It is a super-2 number, since 2×53609328² = 5747920097223168, which contains 22 as substring.

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 = 53609292 and 53609301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53609327) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 602308 + ... + 602396.

Almost surely, 2^53609328 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 53609328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77482392).

53609328 is an abundant number, since it is smaller than the sum of its proper divisors (101355456).

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

53609328 is a wasteful number, since it uses less digits than its factorization.

53609328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 53609328 is about 7321.8391132283. The cubic root of 53609328 is about 377.0625970493.

The spelling of 53609328 in words is "fifty-three million, six hundred nine thousand, three hundred twenty-eight".