7728444 has 36 divisors (see below), whose sum is σ = 19690944. Its totient is φ = 2555712.

The previous prime is 7728443. The next prime is 7728451. The reversal of 7728444 is 4448277.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×7728444² = 119457693322272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 7728399 and 7728408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7728443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4149 + ... + 5715.

Almost surely, 2^7728444 is an apocalyptic number.

It is an amenable number.

7728444 is an abundant number, since it is smaller than the sum of its proper divisors (11962500).

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

7728444 is a wasteful number, since it uses less digits than its factorization.

7728444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1709 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 7728444 is about 2780.0079136578. The cubic root of 7728444 is about 197.7109341740.

It can be divided in two parts, 772 and 8444, that added together give a square (9216 = 96²).

The spelling of 7728444 in words is "seven million, seven hundred twenty-eight thousand, four hundred forty-four".