7728032 has 36 divisors (see below), whose sum is σ = 16486470. Its totient is φ = 3564288.

The previous prime is 7728031. The next prime is 7728043. The reversal of 7728032 is 2308277.

It can be written as a sum of positive squares in 3 ways, for example, as 1948816 + 5779216 = 1396^2 + 2404^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 7727986 and 7728004.

It is not an unprimeable number, because it can be changed into a prime (7728031) 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 5 ways as a sum of consecutive naturals, for example, 4694 + ... + 6122.

Almost surely, 2^7728032 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 7728032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8243235).

7728032 is an abundant number, since it is smaller than the sum of its proper divisors (8758438).

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

7728032 is a wasteful number, since it uses less digits than its factorization.

7728032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 7728032 is about 2779.9338121617. The cubic root of 7728032 is about 197.7074208169.

The spelling of 7728032 in words is "seven million, seven hundred twenty-eight thousand, thirty-two".