428948 has 24 divisors (see below), whose sum is σ = 826728. Its totient is φ = 193536.

The previous prime is 428899. The next prime is 428951. The reversal of 428948 is 849824.

It can be written as a sum of positive squares in 4 ways, for example, as 3844 + 425104 = 62^2 + 652^2 .

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 428948.

It is an unprimeable number.

428948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3740 + ... + 3852.

It is an arithmetic number, because the mean of its divisors is an integer number (34447).

2⁴²⁸⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

428948 is a deficient number, since it is larger than the sum of its proper divisors (397780).

428948 is a wasteful number, since it uses less digits than its factorization.

428948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 201 counting only the distinct ones).

The product of its digits is 18432, while the sum is 35.

The square root of 428948 is about 654.9412187365. The cubic root of 428948 is about 75.4168199312.

The spelling of 428948 in words is "four hundred twenty-eight thousand, nine hundred forty-eight".