428850 has 36 divisors (see below), whose sum is σ = 1153386. Its totient is φ = 114240.

The previous prime is 428843. The next prime is 428851. The reversal of 428850 is 58824.

428850 = T₃₈ + T₃₉ + ... + T₁₃₇.

It can be written as a sum of positive squares in 3 ways, for example, as 301401 + 127449 = 549^2 + 357^2 .

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 nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 428850.

It is not an unprimeable number, because it can be changed into a prime (428851) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27 + ... + 926.

2⁴²⁸⁸⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576693).

428850 is an abundant number, since it is smaller than the sum of its proper divisors (724536).

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

428850 is a wasteful number, since it uses less digits than its factorization.

428850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 428850 is about 654.8663985883. The cubic root of 428850 is about 75.4110761027.

The spelling of 428850 in words is "four hundred twenty-eight thousand, eight hundred fifty".