428616 has 24 divisors (see below), whose sum is σ = 1161030. Its totient is φ = 142848.

The previous prime is 428579. The next prime is 428629. The reversal of 428616 is 616824.

428616 is a `hidden beast` number, since 42 + 8 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 427716 + 900 = 654^2 + 30^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 428616.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2905 + ... + 3048.

2⁴²⁸⁶¹⁶ is an apocalyptic number.

It is an amenable number.

428616 is an abundant number, since it is smaller than the sum of its proper divisors (732414).

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

428616 is a wasteful number, since it uses less digits than its factorization.

428616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5965 (or 5958 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 428616 is about 654.6877118138. The cubic root of 428616 is about 75.3973577068.

The spelling of 428616 in words is "four hundred twenty-eight thousand, six hundred sixteen".