428963 has 8 divisors (see below), whose sum is σ = 457920. Its totient is φ = 400680.

The previous prime is 428957. The next prime is 428977. The reversal of 428963 is 369824.

428963 is nontrivially palindromic in base 15.

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 428963 - 2⁶ = 428899 is a prime.

It is a Duffinian number.

428963 is a modest number, since divided by 963 gives 428 as remainder.

It is not an unprimeable number, because it can be changed into a prime (428563) 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, 1928 + ... + 2138.

It is an arithmetic number, because the mean of its divisors is an integer number (57240).

2⁴²⁸⁹⁶³ is an apocalyptic number.

428963 is a deficient number, since it is larger than the sum of its proper divisors (28957).

428963 is a wasteful number, since it uses less digits than its factorization.

428963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337.

The product of its digits is 10368, while the sum is 32.

The square root of 428963 is about 654.9526700457. The cubic root of 428963 is about 75.4176990115.

It can be divided in two parts, 428 and 963, that multiplied together give a square (412164 = 642²).

The spelling of 428963 in words is "four hundred twenty-eight thousand, nine hundred sixty-three".