428047200 has 576 divisors, whose sum is σ = 1874880000. Its totient is φ = 92067840.

The previous prime is 428047177. The next prime is 428047223. The reversal of 428047200 is 2740824.

It is an interprime number because it is at equal distance from previous prime (428047177) and next prime (428047223).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2872726 + ... + 2872874.

It is an arithmetic number, because the mean of its divisors is an integer number (3255000).

Almost surely, 2^428047200 is an apocalyptic number.

428047200 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 428047200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937440000).

428047200 is an abundant number, since it is smaller than the sum of its proper divisors (1446832800).

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

428047200 is a wasteful number, since it uses less digits than its factorization.

428047200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 428047200 is about 20689.3015831855. The cubic root of 428047200 is about 753.6399061995.

The spelling of 428047200 in words is "four hundred twenty-eight million, forty-seven thousand, two hundred".