428827200 has 168 divisors, whose sum is σ = 1441886880. Its totient is φ = 111513600.

The previous prime is 428827199. The next prime is 428827211. The reversal of 428827200 is 2728824.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195711 + ... + 197889.

It is an arithmetic number, because the mean of its divisors is an integer number (8582660).

Almost surely, 2^428827200 is an apocalyptic number.

428827200 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 428827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720943440).

428827200 is an abundant number, since it is smaller than the sum of its proper divisors (1013059680).

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

428827200 is a wasteful number, since it uses less digits than its factorization.

428827200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245 (or 2230 counting only the distinct ones).

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

The square root of 428827200 is about 20708.1433257547. The cubic root of 428827200 is about 754.0973965796.

The spelling of 428827200 in words is "four hundred twenty-eight million, eight hundred twenty-seven thousand, two hundred".