428022000 has 480 divisors, whose sum is σ = 1770362880. Its totient is φ = 94348800.

The previous prime is 428021999. The next prime is 428022037. The reversal of 428022000 is 220824.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5417961 + ... + 5418039.

It is an arithmetic number, because the mean of its divisors is an integer number (3688256).

Almost surely, 2^428022000 is an apocalyptic number.

428022000 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 428022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885181440).

428022000 is an abundant number, since it is smaller than the sum of its proper divisors (1342340880).

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

428022000 is a wasteful number, since it uses less digits than its factorization.

428022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 428022000 is about 20688.6925638137. The cubic root of 428022000 is about 753.6251164766.

Adding to 428022000 its reverse (220824), we get a palindrome (428242824).

The spelling of 428022000 in words is "four hundred twenty-eight million, twenty-two thousand".