7657328 has 30 divisors (see below), whose sum is σ = 17260056. Its totient is φ = 3281376.

The previous prime is 7657313. The next prime is 7657333. The reversal of 7657328 is 8237567.

It is a happy number.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 7⁷ + 6² + 5⁴ + 7⁸ + 3⁹ + 2²⁰ + 8² .

It is a junction number, because it is equal to n+sod(n) for n = 7657291 and 7657300.

It is a congruent number.

It is an unprimeable number.

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, 4100 + ... + 5667.

Almost surely, 2^7657328 is an apocalyptic number.

It is an amenable number.

7657328 is an abundant number, since it is smaller than the sum of its proper divisors (9602728).

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

7657328 is a wasteful number, since it uses less digits than its factorization.

7657328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9789 (or 9776 counting only the distinct ones).

The product of its digits is 70560, while the sum is 38.

The square root of 7657328 is about 2767.1877420949. The cubic root of 7657328 is about 197.1026288928.

The spelling of 7657328 in words is "seven million, six hundred fifty-seven thousand, three hundred twenty-eight".