55288320 has 160 divisors (see below), whose sum is σ = 185023872. Its totient is φ = 14057472.

The previous prime is 55288253. The next prime is 55288327. The reversal of 55288320 is 2388255.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (55288327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176484 + ... + 176796.

Almost surely, 2^55288320 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 55288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92511936).

55288320 is an abundant number, since it is smaller than the sum of its proper divisors (129735552).

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

55288320 is a wasteful number, since it uses less digits than its factorization.

55288320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 55288320 is about 7435.6116090070. The cubic root of 55288320 is about 380.9586138663.

The spelling of 55288320 in words is "fifty-five million, two hundred eighty-eight thousand, three hundred twenty".