6412728 has 128 divisors (see below), whose sum is σ = 20160000. Its totient is φ = 1693440.

The previous prime is 6412669. The next prime is 6412739. The reversal of 6412728 is 8272146.

It is a super-3 number, since 3×6412728³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 6412695 and 6412704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156388 + ... + 156428.

It is an arithmetic number, because the mean of its divisors is an integer number (157500).

Almost surely, 2^6412728 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 6412728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10080000).

6412728 is an abundant number, since it is smaller than the sum of its proper divisors (13747272).

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

6412728 is a wasteful number, since it uses less digits than its factorization.

6412728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 72 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 6412728 is about 2532.3364705347. The cubic root of 6412728 is about 185.7865513070.

It can be divided in two parts, 6412 and 728, that added together give a triangular number (7140 = T₁₁₉).

The spelling of 6412728 in words is "six million, four hundred twelve thousand, seven hundred twenty-eight".