5973828 has 72 divisors (see below), whose sum is σ = 16898112. Its totient is φ = 1608768.

The previous prime is 5973811. The next prime is 5973829. The reversal of 5973828 is 8283795.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 5973828.

It is not an unprimeable number, because it can be changed into a prime (5973829) 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 23 ways as a sum of consecutive naturals, for example, 30226 + ... + 30422.

It is an arithmetic number, because the mean of its divisors is an integer number (234696).

Almost surely, 2^5973828 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 5973828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8449056).

5973828 is an abundant number, since it is smaller than the sum of its proper divisors (10924284).

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

5973828 is a wasteful number, since it uses less digits than its factorization.

5973828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 228 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 5973828 is about 2444.1415670947. The cubic root of 5973828 is about 181.4474648550.

The spelling of 5973828 in words is "five million, nine hundred seventy-three thousand, eight hundred twenty-eight".