428164072200 has 540 divisors, whose sum is σ = 1531451209365. Its totient is φ = 110867927040.

The previous prime is 428164072081. The next prime is 428164072201. The reversal of 428164072200 is 2270461824.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

428164072200 is a `hidden beast` number, since 4 + 2 + 8 + 1 + 640 + 7 + 2 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 14 ways, for example, as 550090116 + 427613982084 = 23454^2 + 653922^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=462690.

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 (428164072201) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4414062552 + ... + 4414062648.

Almost surely, 2^428164072200 is an apocalyptic number.

428164072200 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 428164072200

428164072200 is an abundant number, since it is smaller than the sum of its proper divisors (1103287137165).

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

428164072200 is an equidigital number, since it uses as much as digits as its factorization.

428164072200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 428164072200 in words is "four hundred twenty-eight billion, one hundred sixty-four million, seventy-two thousand, two hundred".