428227800 has 768 divisors, whose sum is σ = 1919877120. Its totient is φ = 76032000.

The previous prime is 428227771. The next prime is 428227801. The reversal of 428227800 is 8722824.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428227801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13813785 + ... + 13813815.

It is an arithmetic number, because the mean of its divisors is an integer number (2499840).

Almost surely, 2^428227800 is an apocalyptic number.

428227800 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 428227800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959938560).

428227800 is an abundant number, since it is smaller than the sum of its proper divisors (1491649320).

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

428227800 is a wasteful number, since it uses less digits than its factorization.

428227800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 428227800 is about 20693.6656975027. The cubic root of 428227800 is about 753.7458822301.

The spelling of 428227800 in words is "four hundred twenty-eight million, two hundred twenty-seven thousand, eight hundred".