6372828 has 144 divisors (see below), whose sum is σ = 21315840. Its totient is φ = 1568160.

The previous prime is 6372781. The next prime is 6372869. The reversal of 6372828 is 8282736.

It is a happy number.

It is a super-2 number, since 2×6372828² = 81225873435168, which contains 22 as substring.

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

Its product of digits (32256) is a multiple of the sum of its prime divisors (42).

It is a junction number, because it is equal to n+sod(n) for n = 6372792 and 6372801.

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 47 ways as a sum of consecutive naturals, for example, 335403 + ... + 335421.

Almost surely, 2^6372828 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 6372828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10657920).

6372828 is an abundant number, since it is smaller than the sum of its proper divisors (14943012).

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

6372828 is a wasteful number, since it uses less digits than its factorization.

6372828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 42 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 6372828 is about 2524.4460778555. The cubic root of 6372828 is about 185.4004280074.

It can be divided in two parts, 63 and 72828, that multiplied together give a square (4588164 = 2142²).

The spelling of 6372828 in words is "six million, three hundred seventy-two thousand, eight hundred twenty-eight".