753828 has 12 divisors (see below), whose sum is σ = 1758960. Its totient is φ = 251272.

The previous prime is 753821. The next prime is 753839. The reversal of 753828 is 828357.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (753821) by changing a digit.

753828 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, 31398 + ... + 31421.

It is an arithmetic number, because the mean of its divisors is an integer number (146580).

2⁷⁵³⁸²⁸ is an apocalyptic number.

It is an amenable number.

753828 is an abundant number, since it is smaller than the sum of its proper divisors (1005132).

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

753828 is a wasteful number, since it uses less digits than its factorization.

753828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62826 (or 62824 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 753828 is about 868.2326877053. The cubic root of 753828 is about 91.0103437906.

Subtracting 753828 from its reverse (828357), we obtain a square (74529 = 273²).

It can be divided in two parts, 7 and 53828, that added together give a palindrome (53835).

The spelling of 753828 in words is "seven hundred fifty-three thousand, eight hundred twenty-eight".