428007 has 8 divisors (see below), whose sum is σ = 595584. Its totient is φ = 272888.

The previous prime is 428003. The next prime is 428023. The reversal of 428007 is 700824.

It is a happy number.

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 428007 - 2² = 428003 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 428007.

It is not an unprimeable number, because it can be changed into a prime (428003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3033 + ... + 3170.

It is an arithmetic number, because the mean of its divisors is an integer number (74448).

2⁴²⁸⁰⁰⁷ is an apocalyptic number.

428007 is a deficient number, since it is larger than the sum of its proper divisors (167577).

428007 is a wasteful number, since it uses less digits than its factorization.

428007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6229.

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 428007 is about 654.2224392361. Note that the first 3 decimals coincide. The cubic root of 428007 is about 75.3616312795.

The spelling of 428007 in words is "four hundred twenty-eight thousand, seven".