428838400 has 60 divisors (see below), whose sum is σ = 1062512352. Its totient is φ = 171530240.

The previous prime is 428838383. The next prime is 428838409. The reversal of 428838400 is 4838824.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 428838400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428838409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3952 + ... + 29551.

Almost surely, 2^428838400 is an apocalyptic number.

428838400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428838400 is an abundant number, since it is smaller than the sum of its proper divisors (633673952).

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

428838400 is an equidigital number, since it uses as much as digits as its factorization.

428838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33531 (or 33510 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 428838400 is about 20708.4137490055. The cubic root of 428838400 is about 754.1039616306.

The spelling of 428838400 in words is "four hundred twenty-eight million, eight hundred thirty-eight thousand, four hundred".