426182328 has 288 divisors, whose sum is σ = 1411693920. Its totient is φ = 115315200.

The previous prime is 426182297. The next prime is 426182357. The reversal of 426182328 is 823281624.

426182328 is a `hidden beast` number, since 4 + 2 + 618 + 2 + 32 + 8 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 426182292 and 426182301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6002533 + ... + 6002603.

It is an arithmetic number, because the mean of its divisors is an integer number (4901715).

Almost surely, 2^426182328 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 426182328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705846960).

426182328 is an abundant number, since it is smaller than the sum of its proper divisors (985511592).

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

426182328 is a wasteful number, since it uses less digits than its factorization.

426182328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 153 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 426182328 is about 20644.1838782743. The cubic root of 426182328 is about 752.5438526631.

The spelling of 426182328 in words is "four hundred twenty-six million, one hundred eighty-two thousand, three hundred twenty-eight".