7645728 has 48 divisors (see below), whose sum is σ = 20363616. Its totient is φ = 2511360.

The previous prime is 7645709. The next prime is 7645739. The reversal of 7645728 is 8275467.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6463 + ... + 7553.

It is an arithmetic number, because the mean of its divisors is an integer number (424242).

Almost surely, 2^7645728 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 7645728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10181808).

7645728 is an abundant number, since it is smaller than the sum of its proper divisors (12717888).

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

7645728 is a wasteful number, since it uses less digits than its factorization.

7645728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1169 counting only the distinct ones).

The product of its digits is 94080, while the sum is 39.

The square root of 7645728 is about 2765.0909569126. The cubic root of 7645728 is about 197.0030490737.

The spelling of 7645728 in words is "seven million, six hundred forty-five thousand, seven hundred twenty-eight".