75628288 has 72 divisors (see below), whose sum is σ = 159677280. Its totient is φ = 35696640.

The previous prime is 75628283. The next prime is 75628307. The reversal of 75628288 is 88282657.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75628283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 452781 + ... + 452947.

It is an arithmetic number, because the mean of its divisors is an integer number (2217740).

Almost surely, 2^75628288 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 75628288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79838640).

75628288 is an abundant number, since it is smaller than the sum of its proper divisors (84048992).

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

75628288 is a wasteful number, since it uses less digits than its factorization.

75628288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 259 counting only the distinct ones).

The product of its digits is 430080, while the sum is 46.

The square root of 75628288 is about 8696.4526101164. The cubic root of 75628288 is about 422.8906564972.

The spelling of 75628288 in words is "seventy-five million, six hundred twenty-eight thousand, two hundred eighty-eight".