75428 has 12 divisors (see below), whose sum is σ = 133980. Its totient is φ = 37152.

The previous prime is 75407. The next prime is 75431. The reversal of 75428 is 82457.

It can be written as a sum of positive squares in 2 ways, for example, as 61504 + 13924 = 248^2 + 118^2 .

It is a junction number, because it is equal to n+sod(n) for n = 75397 and 75406.

It is an unprimeable number.

75428 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 350 + ... + 522.

It is an arithmetic number, because the mean of its divisors is an integer number (11165).

2⁷⁵⁴²⁸ is an apocalyptic number.

It is an amenable number.

75428 is a deficient number, since it is larger than the sum of its proper divisors (58552).

75428 is a wasteful number, since it uses less digits than its factorization.

75428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 284 counting only the distinct ones).

The product of its digits is 2240, while the sum is 26.

The square root of 75428 is about 274.6415846153. The cubic root of 75428 is about 42.2517009691.

It can be divided in two parts, 754 and 28, that multiplied together give a palindrome (21112).

The spelling of 75428 in words is "seventy-five thousand, four hundred twenty-eight".