428604 has 48 divisors (see below), whose sum is σ = 1161216. Its totient is φ = 121600.

The previous prime is 428579. The next prime is 428629. The reversal of 428604 is 406824.

428604 = T₁₁₇ + T₁₁₈ + ... + T₁₆₀.

It is an interprime number because it is at equal distance from previous prime (428579) and next prime (428629).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2149 + ... + 2339.

It is an arithmetic number, because the mean of its divisors is an integer number (24192).

2⁴²⁸⁶⁰⁴ is an apocalyptic number.

428604 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580608).

428604 is an abundant number, since it is smaller than the sum of its proper divisors (732612).

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

428604 is a wasteful number, since it uses less digits than its factorization.

428604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 428604 is about 654.6785470748. The cubic root of 428604 is about 75.3966540647.

It can be divided in two parts, 42 and 8604, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 428604 in words is "four hundred twenty-eight thousand, six hundred four".