428829000 has 128 divisors (see below), whose sum is σ = 1346042880. Its totient is φ = 113664000.

The previous prime is 428828971. The next prime is 428829019. The reversal of 428829000 is 928824.

It is a super-2 number, since 2×428829000² = 367788622482000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 668680 + ... + 669320.

It is an arithmetic number, because the mean of its divisors is an integer number (10515960).

Almost surely, 2^428829000 is an apocalyptic number.

428829000 is a gapful number since it is divisible by the number (40) 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 428829000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673021440).

428829000 is an abundant number, since it is smaller than the sum of its proper divisors (917213880).

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

428829000 is a wasteful number, since it uses less digits than its factorization.

428829000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 428829000 is about 20708.1867868725. The cubic root of 428829000 is about 754.0984516848.

The spelling of 428829000 in words is "four hundred twenty-eight million, eight hundred twenty-nine thousand".