762728 has 16 divisors (see below), whose sum is σ = 1452480. Its totient is φ = 375408.

The previous prime is 762721. The next prime is 762737. The reversal of 762728 is 827267.

762728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 762694 and 762703.

It is not an unprimeable number, because it can be changed into a prime (762721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 176 + ... + 1247.

It is an arithmetic number, because the mean of its divisors is an integer number (90780).

2⁷⁶²⁷²⁸ is an apocalyptic number.

It is an amenable number.

762728 is a deficient number, since it is larger than the sum of its proper divisors (689752).

762728 is a wasteful number, since it uses less digits than its factorization.

762728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1492 counting only the distinct ones).

The product of its digits is 9408, while the sum is 32.

The square root of 762728 is about 873.3430024910. The cubic root of 762728 is about 91.3671117830.

The spelling of 762728 in words is "seven hundred sixty-two thousand, seven hundred twenty-eight".