428572800 has 288 divisors, whose sum is σ = 1598201280. Its totient is φ = 109148160.

The previous prime is 428572769. The next prime is 428572801. The reversal of 428572800 is 8275824.

It is a happy number.

428572800 is a `hidden beast` number, since 4 + 2 + 8 + 572 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (428572801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 662077 + ... + 662723.

It is an arithmetic number, because the mean of its divisors is an integer number (5549310).

Almost surely, 2^428572800 is an apocalyptic number.

428572800 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 428572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799100640).

428572800 is an abundant number, since it is smaller than the sum of its proper divisors (1169628480).

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

428572800 is a wasteful number, since it uses less digits than its factorization.

428572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 428572800 is about 20701.9999033910. Note that the first 4 decimals coincide. The cubic root of 428572800 is about 753.9482453389.

The spelling of 428572800 in words is "four hundred twenty-eight million, five hundred seventy-two thousand, eight hundred".