428924600 has 96 divisors (see below), whose sum is σ = 1080660000. Its totient is φ = 157386240.

The previous prime is 428924599. The next prime is 428924627. The reversal of 428924600 is 6429824.

It is a congruent number.

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, 516986 + ... + 517814.

It is an arithmetic number, because the mean of its divisors is an integer number (11256875).

Almost surely, 2^428924600 is an apocalyptic number.

428924600 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 428924600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540330000).

428924600 is an abundant number, since it is smaller than the sum of its proper divisors (651735400).

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

428924600 is a wasteful number, since it uses less digits than its factorization.

428924600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 428924600 is about 20710.4949240717. The cubic root of 428924600 is about 754.1544852517.

The spelling of 428924600 in words is "four hundred twenty-eight million, nine hundred twenty-four thousand, six hundred".