428186088000 has 1680 divisors, whose sum is σ = 1795675994112. Its totient is φ = 100590336000.

The previous prime is 428186087893. The next prime is 428186088019. The reversal of 428186088000 is 880681824.

It is a happy number.

428186088000 is a `hidden beast` number, since 4 + 28 + 18 + 608 + 8 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3371543937 + ... + 3371544063.

Almost surely, 2^428186088000 is an apocalyptic number.

428186088000 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 428186088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897837997056).

428186088000 is an abundant number, since it is smaller than the sum of its proper divisors (1367489906112).

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

428186088000 is a wasteful number, since it uses less digits than its factorization.

428186088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 428186088000 in words is "four hundred twenty-eight billion, one hundred eighty-six million, eighty-eight thousand".