428680 has 32 divisors (see below), whose sum is σ = 1103040. Its totient is φ = 146880.

The previous prime is 428677. The next prime is 428683. The reversal of 428680 is 86824.

It is an interprime number because it is at equal distance from previous prime (428677) and next prime (428683).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (428683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 486 + ... + 1045.

It is an arithmetic number, because the mean of its divisors is an integer number (34470).

2⁴²⁸⁶⁸⁰ is an apocalyptic number.

428680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428680 is an abundant number, since it is smaller than the sum of its proper divisors (674360).

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

428680 is a wasteful number, since it uses less digits than its factorization.

428680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 428680 is about 654.7365882552. The cubic root of 428680 is about 75.4011102426.

The spelling of 428680 in words is "four hundred twenty-eight thousand, six hundred eighty".