428091955200 has 2304 divisors, whose sum is σ = 2006421580800. Its totient is φ = 87058022400.

The previous prime is 428091955183. The next prime is 428091955201. The reversal of 428091955200 is 2559190824.

It is a happy number.

428091955200 is a `hidden beast` number, since 4 + 2 + 8 + 0 + 91 + 9 + 552 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428091955201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5157734359 + ... + 5157734441.

It is an arithmetic number, because the mean of its divisors is an integer number (870842700).

Almost surely, 2^428091955200 is an apocalyptic number.

428091955200 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 428091955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003210790400).

428091955200 is an abundant number, since it is smaller than the sum of its proper divisors (1578329625600).

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

428091955200 is a wasteful number, since it uses less digits than its factorization.

428091955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 428091955200 in words is "four hundred twenty-eight billion, ninety-one million, nine hundred fifty-five thousand, two hundred".