7428667 has 8 divisors (see below), whose sum is σ = 7645680. Its totient is φ = 7213440.

The previous prime is 7428653. The next prime is 7428671. The reversal of 7428667 is 7668247.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 7428667 - 2⁷ = 7428539 is a prime.

7428667 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (7428697) 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 7 ways as a sum of consecutive naturals, for example, 16548 + ... + 16990.

It is an arithmetic number, because the mean of its divisors is an integer number (955710).

Almost surely, 2^7428667 is an apocalyptic number.

7428667 is a deficient number, since it is larger than the sum of its proper divisors (217013).

7428667 is a wasteful number, since it uses less digits than its factorization.

7428667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893.

The product of its digits is 112896, while the sum is 40.

The square root of 7428667 is about 2725.5581079845. The cubic root of 7428667 is about 195.1208280305.

It can be divided in two parts, 742 and 8667, that added together give a square (9409 = 97²).

The spelling of 7428667 in words is "seven million, four hundred twenty-eight thousand, six hundred sixty-seven".