427820328 has 192 divisors, whose sum is σ = 1299916800. Its totient is φ = 126282240.

The previous prime is 427820311. The next prime is 427820333. The reversal of 427820328 is 823028724.

427820328 is a `hidden beast` number, since 427 + 8 + 203 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 427820292 and 427820301.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3368601 + ... + 3368727.

It is an arithmetic number, because the mean of its divisors is an integer number (6770400).

Almost surely, 2^427820328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427820328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649958400).

427820328 is an abundant number, since it is smaller than the sum of its proper divisors (872096472).

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

427820328 is a wasteful number, since it uses less digits than its factorization.

427820328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 265 counting only the distinct ones).

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

The square root of 427820328 is about 20683.8180227926. The cubic root of 427820328 is about 753.5067355203.

The spelling of 427820328 in words is "four hundred twenty-seven million, eight hundred twenty thousand, three hundred twenty-eight".