7728336 has 240 divisors, whose sum is σ = 29248128. Its totient is φ = 1843200.

The previous prime is 7728317. The next prime is 7728337. The reversal of 7728336 is 6338277.

7728336 = 414² + 415² + ... + 454².

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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

It is a d-powerful number, because it can be written as 7⁵ + 7⁷ + 2²¹ + 8 + 3⁸ + 3¹⁴ + 6⁴ .

It is a self number, because there is not a number n which added to its sum of digits gives 7728336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7728337) by changing a digit.

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, 188476 + ... + 188516.

Almost surely, 2^7728336 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 7728336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14624064).

7728336 is an abundant number, since it is smaller than the sum of its proper divisors (21519792).

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

7728336 is a wasteful number, since it uses less digits than its factorization.

7728336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 81 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 7728336 is about 2779.9884891848. The cubic root of 7728336 is about 197.7100132090.

The spelling of 7728336 in words is "seven million, seven hundred twenty-eight thousand, three hundred thirty-six".