7164828 has 96 divisors (see below), whose sum is σ = 20939520. Its totient is φ = 2099520.

The previous prime is 7164797. The next prime is 7164847. The reversal of 7164828 is 8284617.

7164828 is a `hidden beast` number, since 7 + 1 + 648 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (21504) is a multiple of the sum of its prime factors (224).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 7164792 and 7164801.

It is a congruent number.

It is an unprimeable number.

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, 43875 + ... + 44037.

It is an arithmetic number, because the mean of its divisors is an integer number (218120).

Almost surely, 2^7164828 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 7164828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10469760).

7164828 is an abundant number, since it is smaller than the sum of its proper divisors (13774692).

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

7164828 is a wasteful number, since it uses less digits than its factorization.

7164828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 216 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 7164828 is about 2676.7196341791. The cubic root of 7164828 is about 192.7829358244.

The spelling of 7164828 in words is "seven million, one hundred sixty-four thousand, eight hundred twenty-eight".