55643328 has 112 divisors (see below), whose sum is σ = 176235360. Its totient is φ = 17114112.

The previous prime is 55643311. The next prime is 55643353. The reversal of 55643328 is 82334655.

It is a happy number.

55643328 is a `hidden beast` number, since 5 + 5 + 643 + 3 + 2 + 8 = 666.

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 = 55643292 and 55643301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21226 + ... + 23702.

It is an arithmetic number, because the mean of its divisors is an integer number (1573530).

Almost surely, 2^55643328 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 55643328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88117680).

55643328 is an abundant number, since it is smaller than the sum of its proper divisors (120592032).

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

55643328 is a wasteful number, since it uses less digits than its factorization.

55643328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511 (or 2495 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 55643328 is about 7459.4455558037. The cubic root of 55643328 is about 381.7722571852.

The spelling of 55643328 in words is "fifty-five million, six hundred forty-three thousand, three hundred twenty-eight".