7728512 has 48 divisors (see below), whose sum is σ = 16957500. Its totient is φ = 3505920.

The previous prime is 7728463. The next prime is 7728527. The reversal of 7728512 is 2158277.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15239 + ... + 15737.

Almost surely, 2^7728512 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 7728512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8478750).

7728512 is an abundant number, since it is smaller than the sum of its proper divisors (9228988).

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

7728512 is a wasteful number, since it uses less digits than its factorization.

7728512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 512 counting only the distinct ones).

The product of its digits is 7840, while the sum is 32.

The square root of 7728512 is about 2780.0201438119. The cubic root of 7728512 is about 197.7115140365.

The spelling of 7728512 in words is "seven million, seven hundred twenty-eight thousand, five hundred twelve".