52288320 has 224 divisors, whose sum is σ = 196632576. Its totient is φ = 11520000.

The previous prime is 52288319. The next prime is 52288321. The reversal of 52288320 is 2388225.

52288320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52288319) and next prime (52288321).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52288321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208195 + ... + 208445.

It is an arithmetic number, because the mean of its divisors is an integer number (877824).

Almost surely, 2^52288320 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 52288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98316288).

52288320 is an abundant number, since it is smaller than the sum of its proper divisors (144344256).

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

52288320 is a wasteful number, since it uses less digits than its factorization.

52288320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 52288320 is about 7231.0663114094. The cubic root of 52288320 is about 373.9396892464.

The spelling of 52288320 in words is "fifty-two million, two hundred eighty-eight thousand, three hundred twenty".