428145300 has 216 divisors, whose sum is σ = 1490842080. Its totient is φ = 101894400.

The previous prime is 428145287. The next prime is 428145301. The reversal of 428145300 is 3541824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428145301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 583734 + ... + 584466.

Almost surely, 2^428145300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428145300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745421040).

428145300 is an abundant number, since it is smaller than the sum of its proper divisors (1062696780).

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

428145300 is a wasteful number, since it uses less digits than its factorization.

428145300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 428145300 is about 20691.6722378835. The cubic root of 428145300 is about 753.6974749501.

The spelling of 428145300 in words is "four hundred twenty-eight million, one hundred forty-five thousand, three hundred".