53623328 has 48 divisors (see below), whose sum is σ = 116212320. Its totient is φ = 24354880.

The previous prime is 53623259. The next prime is 53623343. The reversal of 53623328 is 82332635.

It is a super-2 number, since 2×53623328² = 5750922611591168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 53623294 and 53623303.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41963 + ... + 43221.

It is an arithmetic number, because the mean of its divisors is an integer number (2421090).

Almost surely, 2^53623328 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 53623328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58106160).

53623328 is an abundant number, since it is smaller than the sum of its proper divisors (62588992).

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

53623328 is a wasteful number, since it uses less digits than its factorization.

53623328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1272 counting only the distinct ones).

The product of its digits is 25920, while the sum is 32.

The square root of 53623328 is about 7322.7950947708. The cubic root of 53623328 is about 377.0954173133.

The spelling of 53623328 in words is "fifty-three million, six hundred twenty-three thousand, three hundred twenty-eight".